Questions on Geometry: Bodies in space, right solid, cylinder, sphere answered by real tutors!

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Question 1027792: A pile of coal has a rectangular base 50 ft. by 400 ft. If the sides of the pile are all inclined 45 degrees to the horizontal, and the coal weighs 94 lb. per cu. ft., find the number of tons of coal in the pile.
Click here to see answer by Cromlix(4381)

Question 1028529: A container is designed in the shape of an open right circular cylinder (bottom but no top). The container is to hold 1248 cc. The base must be cut from the smallest square piece of material and the corners of this piece are then wasted. Assume no other materials need be wasted in construction. Find the height of the container for which the cost of the material used to create it is the minimum possible. Express your answer as a decimal rounded to the nearest hundredth.
Answer: 8.64
So I know it is a rather easy problem given that I must just find the dimesnions. However, I am asked to find the height of the container that would result in the MINIMUM cost/use of material. How do I find the minimum?
Any help is greatly appreciated!! Thank you in advance!
Click here to see answer by mananth(16946)

Question 1029812: How far from the vertex of a right circular cone must a plane be passed in order to divide the volume into two equal parts? three equal parts?
Click here to see answer by KMST(5328)

Question 1030870: Do you ignore pi when you try to find the ratio for a problem?
Click here to see answer by richard1234(7193)

Question 1032729: Suppose that .25 cubic inch of paint is applied to a circular piece of plastic with a diameter of 20 inches. Estimate the thickness of the paint.
Click here to see answer by Alan3354(69443)

Question 1033521:
i got
Click here to see answer by josgarithmetic(39617)

Question 1033521:
i got
Click here to see answer by Waterkid(8)

Question 1034727: Give a geometric description of the following problem:
,
----------------
I know that it is some kind of a sphere. But the part is throwing me off.
Thank you!
Click here to see answer by addingup(3677)

Question 1034801: A sphere of ice cream is placed on your ice cream cone. Both have a diameter of 8 cm. The height of your cone is 12 cm. Will all the ice cream, fit into the cone if it melted? Show all data to support your conclusion.
If no, what would be the diameter of a sphere of ice cream that would fill the cone? (Nearest tenth of a centimeter)
Click here to see answer by Cromlix(4381)

Question 1035170: The volume of a sphere is 3200 cubic centimeters. What is the approximate diameter of this sphere ? (Volume of a sphere= 4/3piR^3
A.16.45cm
B.18.28cm
D.9.14cm
Click here to see answer by fractalier(6550)

Question 1035472: A solid steel ball of radius 12 cm. is cut by a plane 6 cm. from its center. Find the area of the circle formed.
Click here to see answer by Alan3354(69443)

Question 1039349: The radius of a pipe 5cm and its thickness is 6mm. What is the external circumference of the pipe?
Click here to see answer by addingup(3677)

Question 1039349: The radius of a pipe 5cm and its thickness is 6mm. What is the external circumference of the pipe?
Click here to see answer by ikleyn(52781)

Question 1041366: The crater of a volcano is approximately in the shape of a cone of base 3.1416 sq.mi. the craters depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity? Plss answer. Thanks :)
Click here to see answer by Alan3354(69443)

Question 872010: a flower vase, in the form of a hexagonal prism, is to be filled with 512 cubic inches of water. find the height of the water if the wet portion of the flower vase and its volume are numerically equal.
Click here to see answer by furryfeg(1)

Question 1044941: If the volume of a cone is 30 cubic feet and it has a base area of 15 square feet, what is the height of the cone?
Click here to see answer by advanced_Learner(501)

Question 1052789: The weight of a sphere is proportional to its radius cubed. If a sphere of diameter 2 cm has a mass of 10 grams, what diameter sphere has a mass of 2160 grams?
Click here to see answer by Alan3354(69443)

Question 1053928: The volume of a sphere is 904.78 cu. m. Find the volume of the spherical segment of height 4 m.
Click here to see answer by Alan3354(69443)

Question 1053928: The volume of a sphere is 904.78 cu. m. Find the volume of the spherical segment of height 4 m.
Click here to see answer by rothauserc(4718)

Question 1054146: find the lateral area of pyramid V-ABCD when:
a. V is the midpoint of EF
b. when V coincide with G
c. when V is the center of EFGH
Click here to see answer by ikleyn(52781)

Question 1054143: find the slant height of a regular triangular pyramid with a base edge of 24cm and a lateral edge of 13cm.
Click here to see answer by ikleyn(52781)

Question 1054135: a block of ice 8in by 5in is to be melted in an open conical pot 10 in deep and with radius 4in. find the depth of ithe water when the ice is completely melted in the pot.

Click here to see answer by ikleyn(52781)

Question 1053927: In the figure, a sealed conical vessel of height 10 cm contains some water to a mark M. When it is inverted, the water surface is still at the mark M. Find the ratio of the volume of water to the capacity of the vessel. Then find the height of the mark M above the vertex of the vessel to 3dp.
Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 1054142: an inverted conical tent 10ft deep has a slant height of 15ft. What is it the capacity of the tank in gallons?
Click here to see answer by Alan3354(69443)

Question 1054132: the legs of a right triangle are 4ft and 3ft. Find the lateral area and the volume of the solid generated by the right triangle revolved about the longer leg as an axis.
Click here to see answer by Alan3354(69443)

Question 1062421: A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.
Click here to see answer by ikleyn(52781)

Question 1062745: Marcie purchases a helium tank that contains 7.9 cubic feet of helium. Marcie is making a balloon display that contains 15 spherical balloons with a 6 inch radius.
A: Will the helium tank provide enough helium for the display?
B: Why or why not?
Use the approximation of 3.14 for π in your calculations and round your answer to the nearest tenth if necessary. Hint: convert 6 inches into feet before you begin your calculation.
Select only one answer each for parts A and B.
B: the total volume of the balloons is more than 7.9 cubic feet
A: Yes
A: No
B: the total volume of the balloons is less than 7.9 cubic feet
B: the total volume of the balloons cannot be determined in cubic feet

Click here to see answer by Alan3354(69443)

Question 1064302: A cylinder has a volume of 4(pi) cm^3. If the radius and height are each tripled, what will be the new volume of the cylinder? Thanks
Click here to see answer by Alan3354(69443)

Question 1064392: I have a 6 inch diameter ball. How many balls will fill a room 10ftx12ft with a 8ft ceiling (10x12x8=960)? This room has no furniture or obtrusion's to consider.
I can visualize 8 balls occupying a 1ftx1ftx1ft space if the balls are set in straight rows from one another. 8 balls/cubic foot of space.
8 balls x 960 = 7,680 balls
BUT if I move the second level of balls over so they nestle into the depressed areas found between the first row of balls I am overwhelmed trying to figure that out.
I have looked online and see there is rounded questimate of .74, but I am not sure if this is what I need?
Do I simply take 8 balls/cubic ft x 960 cubic ft divide by .74 = ?
= 10,378 balls
Thanks

Click here to see answer by KMST(5328)

Question 1064849: A company needs a cylindrical tank of volume 1100.the tank must fit into a space 140 height.find the radius of the base.take pie as 22/7
Click here to see answer by Alan3354(69443)

Question 1064847: A tin of radius 7cm and height 20cm is full of water,if 1540ml of water is poured out,find the depth of the remaining water in the tin,take pie as 22/7
Click here to see answer by Alan3354(69443)

Question 1064843: The diameter of a cylinder is 2m,what is its height if its volume is the same as that of a cube of edge 2m ?give the answer correct to the nearest cm.
Click here to see answer by Alan3354(69443)

Question 1064842: The diameter of a cylinder is 2m,what is its height if its volume is the same as that of a cube of edge 2m ?give the answer correct to the nearest cm.
Click here to see answer by Alan3354(69443)

Question 1067135: Find the dimensions of a rectangular prism with a volume of 512 cubic cm if the width is one-half the length and the height is four times the width?
Click here to see answer by josgarithmetic(39617)

Question 1067236: The length of a rectangle is 10 more than twice the width. The area of the rectangle is 672 square inches. find the length and the width. (Remember the dimensions cannot be negative.)
Click here to see answer by Boreal(15235)

Question 1067412: The spherical container has a radius of 21 cm.
What is the approximate volume of the container?
Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
Enter your answer in the box.
cm�
Click here to see answer by Alan3354(69443)

Question 1068466: The diameter of a basketball is 9.5 in.
What is the volume of the basketball?�
Use 3.14 for
π
.
Enter your answer in the box as a decimal rounded to the nearest hundredth.
Click here to see answer by Alan3354(69443)

Question 1069349: 3. A prop for the theater club�s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. The top is 9 inches and the side is 14 inches.
Click here to see answer by Alan3354(69443)

Question 1071813: the external and internal radii of a copper hemispherical bowl are 10 cm and 9cm respectively.if the density of the copper is 8.9gm/cm^3.what is the weight of the bowl
Click here to see answer by josgarithmetic(39617)

Question 1073842: Calculate the length of a great circle on a sphere with a radius of 40 cm.
Click here to see answer by ikleyn(52781)

Question 1073863: calculate the length of a great circle on a sphere with a radius 40 centimetre

Click here to see answer by sachi(548)

Question 1073781: The diameter of the earth�s orbit around the sun is approximately 186 million miles.
Looking at a star from the two points on the orbit which are furthest apart, the lines of sight
to the star form an angle of 4.269 � 10−4 degrees. How many light-years away is this star
from the earth? Note that one light-year is approximately 5.879 � 1012 miles.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1074978: three identical cylinders are stacked in a v formation. What is the height of the dotted line if each cylinder has aradius of 24 inches?

Click here to see answer by ikleyn(52781)

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