Questions on Geometry: Volume, Metric volume answered by real tutors!

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Tutors Answer Your Questions about Volume (FREE)


Question 165334: Find the volume of a sphere that has a diameter of 9 meteres.
Answers are multiple choice:
a. 243 m^3
b. 486m^3
c. 121.5m^3
d. 972 m^3

So far I have
V=4/3*pi*r^3
V=4/3*pi*(d/2)^3
V=4/3*pi*(9/2)^3
V=4/3*pi*(4.5)^3
v=4/3*pi*(91.125)
this is where I get lost because I do not get any of the answers listed

Click here to see answer by Earlsdon(6294) About Me 

Question 165744: Olympic pools must be 50 meters long and 25 meters wide. What volume of water, in cubic meters, is required to fill the extra space created by the extra depth?
Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 165897: a prism is 4cm long, 4cm wide and 2cm high. what is its volume
Click here to see answer by midwood_trail(310) About Me 

Question 166810: How do you find the volume of a cube?
Click here to see answer by nerdybill(7003) About Me 

Question 167086: V=lwh
V=12*14*18

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Question 167097: Volume of a rectangle prisim V-lwh. Solve for w.
Click here to see answer by nerdybill(7003) About Me 

Question 136618: I don't have a textbook
What is the basic formula for volume?

Click here to see answer by Edwin McCravy(8999) About Me 

Question 168680: the volume of a rectangular pool is 1,080 cubic meters. its length, width, and depth are in the ratio 10:4:1. find the number of meters in each of the three dimensions of the pool.
Click here to see answer by Earlsdon(6294) About Me 

Question 168702: the dimensions of a brick are 2 cm * 5 cm * 5 cm. how many of these bricks are needed to have a total volume of exactly 1 cubic meter?
Click here to see answer by jim_thompson5910(28715) About Me 

Question 168701: the dimensions o a brick are 1 in * 2 in * 8 in. how many of these bricks are needed to have a total volume of exactly 1 cubic foot?
Click here to see answer by jim_thompson5910(28715) About Me 

Question 168725: what is the diameter of the base of the cone if the volume is 50 pi ft^3 and the height is 6 ft?
Click here to see answer by Mathtut(3670) About Me 

Question 168731: what is the volume of the sphere, expressed in terms of pi, if radius equals 6 inches?
Click here to see answer by Mathtut(3670) About Me 

Question 168724: if a cylinder has a volume of 401.92 inches^3 and a height of 2 inches, what is the length of the diameter of the base circle to the nearest inch?
Click here to see answer by Fombitz(13828) About Me 

Question 169858: The fuel tank on a diesel truck is a cylinder with a diameter of 28 inches measuring 3 feet long. If 231 cubic inches is the same as a gallon of diesel fuel, how many gallons of diesel fuel would be required to fill the tank? Round answer to the nearest gallon.
Click here to see answer by Alan3354(31518) About Me 

Question 169855: Calculate the volume of a sphere with a diameter of 10 inches. Round answer to the nearest cubic inch.
Click here to see answer by nerdybill(7003) About Me 

Question 169857: A propane tank is made up of a cylinder with hemispheres on each end. If the total length of the tank is 6 feet and height is 2 feet, what is the volume of the tank? Round answer to nearest cubic foot.
Click here to see answer by Alan3354(31518) About Me 

Question 169862: Calculate the volume of a cylinder with a diameter of 6 inches and a height of 16 inches. Round answer to the nearest cubic inch.
The answer I came up with is 1808.64 which doesn't seem correct.

Click here to see answer by Alan3354(31518) About Me 
Question 169862: Calculate the volume of a cylinder with a diameter of 6 inches and a height of 16 inches. Round answer to the nearest cubic inch.
The answer I came up with is 1808.64 which doesn't seem correct.

Click here to see answer by Earlsdon(6294) About Me 

Question 169861: Calculate the volume in cubic inches of a rectangular solid box that is 12 inches long, 8 inches wide, and 6 inches tall.
Click here to see answer by Alan3354(31518) About Me 

Question 169856: A rectangular lap pool is filled with water to a depth of 5 feet. If the pool is 6 feet wide and 200 feet long, how many gallons would be required, if each cubic foot equals approximately 7.5 gallons?
Click here to see answer by nerdybill(7003) About Me 

Question 169860: A rectangular trailer is rented to transport your new brand of energy snack. The trailer measures 6 feet tall by 6 feet wide by 8 feet long. How many boxes of your snack can you haul in the trailer if each box measures 8 inches wide by 9 inches tall by 2 inches thick?
Click here to see answer by Alan3354(31518) About Me 

Question 172833: This is from a worksheet.
An aquarium has a rectangular base that measures 100cm by 40cm and has a height of 50cm. It is filled with water to a height of 40cm. A brick with a rectangular base that measures 40cm by 20cm and a height of 10cm is placed in the aquarium. By how many centimeters does the water rise? Thanks for any help!

Click here to see answer by colliefan(239) About Me 
Question 172833: This is from a worksheet.
An aquarium has a rectangular base that measures 100cm by 40cm and has a height of 50cm. It is filled with water to a height of 40cm. A brick with a rectangular base that measures 40cm by 20cm and a height of 10cm is placed in the aquarium. By how many centimeters does the water rise? Thanks for any help!

Click here to see answer by checkley77(12569) About Me 

Question 173211: A rectangular piece of metal 32cm by 22cm, has a square of side X cm removed from each corner in order to form a rectangular box. If the volume of the box is to be a maximum what is the value of X?
Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 173420: How tall is a stack of cube-shaped blocks whose volumes are 375 cubic inches, 648 cubic inches and 1,029 cubic inches?
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Question 173420: How tall is a stack of cube-shaped blocks whose volumes are 375 cubic inches, 648 cubic inches and 1,029 cubic inches?
Click here to see answer by Mathtut(3670) About Me 

Question 173467: Explain how you would find the volume of an irregular shape.
Click here to see answer by solver91311(17077) About Me 

Question 173465: A tennis ball can in the shape of a cylinder holds three tennis balls snugly. If the radius of a tennis ball is 3.5cm, what percentage of the tennis ball can is occupied by air?
Click here to see answer by Mathtut(3670) About Me 

Question 173466: A right cylindrical can is to hold approximately 1 L of water. What should be the height of the can if the radius is 12 cm?
Click here to see answer by Alan3354(31518) About Me 
Question 173466: A right cylindrical can is to hold approximately 1 L of water. What should be the height of the can if the radius is 12 cm?
Click here to see answer by jojo14344(1512) About Me 

Question 173463: A heavy metal sphere with radius 10cm is dropped into a right circular cylinder with base radius of 10cm. If the original cylinder has water in it that is 20cm high, how high is the water after the sphere is placed in it?
Click here to see answer by Mathtut(3670) About Me 

Question 173460: Jeremy has a fish tank that has 40-cm by 70-cm rectangular base. The water is 25-cm deep. When he drops rocks into the tank, the water goes up by 2-cm. What is the volume in liters of the rocks?
Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 173462: The Great Pyramid of Cheops has a square base of 771ft. on a side and a height of 486ft. How many apartments 35ft x 20ft. x 8ft. would be needed to have a volume equivalent to that of the Great Pyramids?

Click here to see answer by Mathtut(3670) About Me 

Question 173917: A cylinder is made of solid aluminum which has a unit weight of 165 lbs per cubic foot what is the weight of this cylinder if the diameter is 4 feet and the height is 5 feet.
Click here to see answer by checkley77(12569) About Me 

Question 174228: What would the volume of the region between two cylinders be if the largerst cylinder radius is 12 and the smaller radius is 9. Both of the cylinders have a height of 20 inches.
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Question 174227: The volume of a right cone is 1408 feet to the third. The height of the cone is 21 ft. What is the radius?
Click here to see answer by Mathtut(3670) About Me 

Question 174229: When a chunk of metal is dropped into a container of water, the water level rises 1.8cm. The container is shaped like a prism, with a base that measures 3cm on each side. What is the density of the metal if its mass is 45 grams? The answer is in grams/cm to the third.
Click here to see answer by Mathtut(3670) About Me 

Question 174459: I am a 70 year old guy with a 26000 gallon swimming pool. Lately, I have been losing water. Maybe a leak or maybe natural evaporation. I would like to know how to calculate the amount of water I am replacing every couple of days. I know how much water it needs as I can tell by the amount I need to put in to raise the level in the "skimmer" until adequate. The following are variable that I know: 26,000 gal pool, 18x36 feet, amount of time it takes running my tap water to bring the level back to where it should be and the number of inches of water I put in to be where it should be.
I think there is some volume/metric formulaes I can use to ascertain how many gallons of water I am losing periodically. Am I right? Am I wrong? Am I missing a factor that is needed to calculate the results?
Thanks for any help you can give on this.

Click here to see answer by nerdybill(7003) About Me 
Question 174459: I am a 70 year old guy with a 26000 gallon swimming pool. Lately, I have been losing water. Maybe a leak or maybe natural evaporation. I would like to know how to calculate the amount of water I am replacing every couple of days. I know how much water it needs as I can tell by the amount I need to put in to raise the level in the "skimmer" until adequate. The following are variable that I know: 26,000 gal pool, 18x36 feet, amount of time it takes running my tap water to bring the level back to where it should be and the number of inches of water I put in to be where it should be.
I think there is some volume/metric formulaes I can use to ascertain how many gallons of water I am losing periodically. Am I right? Am I wrong? Am I missing a factor that is needed to calculate the results?
Thanks for any help you can give on this.

Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 174761: how many cubic feet in a 10" cylinder that is 24"L?

Click here to see answer by Alan3354(31518) About Me 

Question 175898: I am trying to make a rectangular enclosure with an inside volume as close to 5184 cubic inches as possible with a height of 1.4 x width and a depth of .7 x width. I would like to know what the height, width and depth would be in inches.
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Question 176683: what is the metric unit for length,mass and volume
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Question 177281: what is the volume of a cylinder 45 inches height 15 inches radius
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Question 177284: A jug of lemonade contains 12 L. How many 320 mL servings are in one jug?
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Question 177534: 2) The volume of a cone is given by 1/3 π r2 h.:
a) Transpose the formula to make h the subject
b) Transpose the formula to make r the subject
c) When the height of the cone is 15cm, the volume is 1600cm3. Find the radius to an appropriate degree of accuracy.
d) When the radius is 7cm, the volume is 1850cm3. Find the height to an appropriate degree of accuracy.

Click here to see answer by Fombitz(13828) About Me 

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