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Question 1105150: A graduated cylinder, pictured, is used to measure solutions in a laboratory. It is open at the top and closed at the bottom.
If a graduated cylinder has a height (h) that is 4 cm more than its radius (r) and a surface area of 16p cm2, use the equations below to calculate the diameter of the graduated cylinder. Give exact answer in fraction form.
Area of the side of a cylinder = 2πrh
Area of the top or bottom of a cylinder = πr2

Click here to see answer by josgarithmetic(39617)

Question 1106411: A cake shaped like a rectangular prism with sides by 9 cm by 14 cm by 15 cm is completely dipped in chocolate and then cut into small 1 cm^3 cubes. How many of the cubes have chocolate on just one side?
Click here to see answer by ikleyn(52781)

Question 1107961: Complete the formula for the volume of a cone.
The formula for the volume of a cone is V=π(__________)^2 ⋅

Which of the following terms fills in the blank in the previous sentence?
13 of the circular base
2 times the radius of the circular base.
diameter of the circular base
radius of the circular base

Click here to see answer by Boreal(15235)

Question 1108961: A solid cylinder has height 12cm and radius of the base is 7cm.Two hemisphere of the same radius of the cylinder is carved out on either sides of the cylinder. Find the volume of the remaining part of the cylinder
Click here to see answer by josgarithmetic(39617)

Question 1108960: A flower vase base radius 7cm height is 12cm slant height is 13cm. The flower vase has 500ml water .How much more water is equired to fill the flowet vase completely
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Question 1109237: The radius of a sphere is increased by 2.5%.find the percentage increase in the volume
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Question 1111664: Find the vertex, focus, equation of directrix of x^2-12x+16y=60.
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Question 1111889: How many cubic feet of earth must be removed in digging an artificial lake 21 ft. deep, if the level bottom is a rectangle 180 ft. by 20 ft. and the top is a rectangle 236 ft. by 27 ft.?

Click here to see answer by ikleyn(52781)

Question 1111892: The frustum has regular hexagon bases. The upper base measures 16 ft. on a side and the lower base measures 29 ft. on a side. The altitude of the frustum is 16 ft. Find the mass of the frustum, if its density is 99 lbs. per cu. ft.

Click here to see answer by Alan3354(69443)

Question 1111890: How many square feet of tin are required to make a funnel, if the diameters of the top and bottom are 33 in. and 24 in., respectively, and the height is 23 in.?

Click here to see answer by mananth(16946)

Question 1116602: A truncated cylinder has a base radius 2 cm and the highest and lowest points of the upper bonding plane are 8 cm and 5 cm away from the plane of the base.
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Question 1118635: What is the external circumference of a pipe whose internal radius is 5cm and the thickness of the metal is 6mm take pi to be 3.14cm
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Question 1120424: Monica stepped outside and began to think how fast she is moving even when she is standing still.
Assume that the earth is a sphere with a radius of 3960 miles and Monica is at a latitude of 15degreesNorth.
What is Monica's speed due solely to the rotation of the earth?
What is Monica's speed due solely to the rotation of the earth? Assume for simplicity that the earth rotates around the sun in a circle of radius 93 million miles and that there are 365.25 days in a year.
Combining the two speeds from above, give the range of speeds Monica is moving while standing still.

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Question 1121974: . A cube has all its corners cut off. How many edges does the resulting shape have?

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Question 1122272:
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Question 1123889:
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Question 1124206: Find the volume of a spherical sector of a sphere whose surface area is 437π m^2, if the height of the zone base is 5 m
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Question 1126228: A solid metal cylinder of height 1.2 metres and diameter 0.8 metres is melted down and cast into a sphere. Find the radius of the sphere in metres.
Click here to see answer by josgarithmetic(39617)

Question 1127169: A cone has the same radius and surface area as a sphere. Find the ratio of the perpendicular height of the cone to the radius
Click here to see answer by rothauserc(4718)

Question 1127907: A bucket in form of a frustrum with a square base of length 10cm is used to store oil. If the height of the bucket is 20cm and ⅓of the bucket is occupied. Calculate;
(a) Total surface area of bucket
(b) Volume of bucket in liters
(c) The volume occupied by the oil in liters
Click here to see answer by ikleyn(52781)

Question 1128673: Find the exact ratio of the equator to the distance around the Earth at latitude 45� north.
Click here to see answer by ikleyn(52781)

Question 1129382: If the radius of a right circular cylinder is tripled and it's altitude cut in half, the what is the ratio of the volume of the original cylinder to the volume of the altered cylinder?
Click here to see answer by Shin123(626)

Question 1129435: Alya wants to use a piece of rectangular aluminum to build an open cylinder on both ends. If the perimeter of the aluminum piece is 32 cm, find the length and width, in cm, of the aluminum piece so that the volume of the cylinder built is maximum
Click here to see answer by ankor@dixie-net.com(22740)

Question 1132273:
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Question 1133018: If the ratio of the areas of two spheres is 3:1, what is the ratio of the radii of the spheres?

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Question 1133022: If the ratio of the areas of two spheres is 3:1, what is the ratio of the radii of the two spheres?

Click here to see answer by solver91311(24713)

Question 1133021: A cylindrical canister of external diameter 32 cm and with walls 1 cm thick is filled with water to a height of 50 cm inside canister. The water is then poured into a second cylindrical canister with external diameter 52 cm and with walls 1 cm thick. Assuming that the water does not overfill the canister, to what height does the water fill the second canister?

Click here to see answer by Boreal(15235)

Question 1133019: A cylindrical canister of external diameter 32 cm and with walls 1 cm thick is filled with water to a height of 50 cm in the canister. The water is then poured into a second cylindrical canister with external diameter 52 cm and with walls 1 cm thick. Assuming that the water does not overfill the canister, to what height does the water fill the second canister?

Click here to see answer by ikleyn(52781)

Question 1133082: A cylindrical canister of external diameter 32 cm and with walls 1 cm thick is filled with water to a height of 50 cm in the canister. The water is then poured into a second cylindrical canister with external diameter 52 cm and with walls 1 cm thick. Assuming that the water does not overfill the canister, to what height does the water fill the second canister?
Click here to see answer by divyansh(1)

Question 1133463: Hello!
I need to find the volume of a regular triangular pyramid that has base edges of length 30 and height 10.
I found the volume using the formula V = ((a^(3))/(6√2)), and got 3181.9805 units^3, but it appears to be wrong.
Thanks for helping!
Click here to see answer by MathTherapy(10552)

Question 1133461: Hi!
My question is:
I need to find the total surface area of a regular triangular pyramid has base edges of length 30 and height 10.
I already tried 1558.845...m^2 but it is wrong.
Thanks for helping!
Click here to see answer by addingup(3677)

Question 1133462: Hello!
I need to find the surface area of a pyramid that has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base.
We know that the height is 13, the length is 24, and the width is 10. I tried 751.199m^2, but is it wrong and I don't understand why.
Thanks!
Click here to see answer by MathTherapy(10552)

Question 1134517: Hello!
I was having some trouble with one of my geometry homework problems. Here is the problem:
In pyramid ABCP, point M is the midpoint of BC. The segment PM is perpendicular to the plane of the base and PM = 9 cm. The radius of the circle circumscribed around ∆ABC is 24 cm and m∠CAB = 30°. Find the length of edge PB.
Thanks!
Click here to see answer by ikleyn(52781)

Question 1134507: In pyramid ABCP, point M is the midpoint of BC. The segment PM is perpendicular to the plane of the base and PM = 9 cm. The radius of the circle circumscribed around ∆ABC is 24 cm and m∠CAB = 30°. Find the length of edge PB.
Click here to see answer by ikleyn(52781)

Question 1134794: A grain silo is a 40 foot high cylinder with a 25 foot radius topped by a hemisphere.A farmer is expecting 10 shipments of grain with each shipment coming in shipping boxes are 20 by 20 by 40 feet in size.will the grain silo hold all the grain coming?
Click here to see answer by josgarithmetic(39617)

Question 1134796: Hi!
My question is "A cone is inscribed in a pyramid whose square base has sides of length 8. The height of the cone is 6. Find the volume of the cone."
Thanks for helping!
Click here to see answer by ikleyn(52781)

Question 1135896: A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone. Find the ratio of the volume of the cone to the volume of the hemisphere.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1135910: A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone. Calculate the ratio of the volume of the cone to the volume of the hemisphere.
Click here to see answer by jim_thompson5910(35256)

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