Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Write the formula first, replace every diameter with a radius, and keep π in the answer unless 3.14 is requested.
Standards: 8.G.C.9 · Level: Grade 8
Problem 1 Cylinder in terms of pi ★★★
A cylindrical candle mold has a base radius of 4 cm and stands 10 cm tall. How much wax does it hold? Give the exact volume as an exact value with π.
Problem 2 Diameter given ★★★
A round cake pan measures 12 in. across and is 5 in. deep. Find its capacity as an exact value with π.
Problem 3 First cone ★★★
A paper cup is shaped like a cone with an opening of radius 3 in. and a depth of 7 in. Find the volume it holds as an exact value with π.
Problem 4 Wider cone ★★★
A solid model of a traffic cone has a base radius of 6 cm and height 9 cm. Calculate its volume as an exact value with π.
Problem 5 First sphere ★★★
A spherical balloon has radius 3 ft. Find the volume of air inside as an exact value with π.
Problem 6 Cylinder with 3.14 ★★★
Calculate how much the cylinder holds. Take π to be 3.14.
Problem 7 Big sphere ★★★
A sphere has diameter 18 cm. Calculate its volume as an exact value with π.
Problem 8 Cone with 3.14 ★★★
Calculate how much the cone holds. Take π to be 3.14.
Problem 9 Sphere with 3.14 ★★★
A solid ball has radius 6 in. Calculate its volume taking π as 3.14.
Problem 10 Find the height of a cylinder ★★★
A cylinder has a volume of 225π cm³ and radius 5 cm. Find its height.
Problem 11 Find the height of a cone ★★★
A cone has a volume of 96π cm³ and radius 6 cm. Find its height.
Problem 12 Cone versus cylinder ★★★
A cone has a volume of 40π in³. A cylinder has the same radius and the same height. Calculate how much the cylinder holds.
Problem 13 Find the radius ★★★
A sphere has a volume of (32/3)π cubic inches. Find its radius.
Problem 14 Hemisphere bowl ★★★
A bowl is a hemisphere with radius 5 in. Calculate its volume as an exact value with π, and rounded to one decimal place using the π key on a calculator.
Problem 15 Water tank ★★★
A cylindrical water tank has diameter 8 ft and height 10 ft. Take π to be 3.14 and find how many cubic feet of water it holds.
Problem 16 Ice cream cone ★★★
An ice cream cone has radius 3 cm and height 10 cm. It is filled with ice cream, and a hemisphere of ice cream with the same radius sits on top. Add up the total volume of ice cream as an exact value with π and with 3.14.
Problem 17 Grain silo ★★★
A grain silo is a cylinder of radius 6 ft and height 20 ft with a hemisphere of radius 6 ft on top. Find its total volume as an exact value with π and with 3.14.
Problem 18 Ball in a tube ★★★
A tennis ball with radius 3 in. fits exactly inside a cylindrical tube with the same radius and height 6 in. How much empty space is in the tube? Take π to be 3.14.
Problem 19 Sand pile ★★★
A conical pile of sand has diameter 12 ft and height 5 ft. A dump truck carries 40 ft³ per load. Take π to be 3.14 and find how many loads are needed to move the whole pile.
Problem 20 Pouring water ★★★
A full conical cup has radius 6 cm and height 9 cm. Its water is poured into an empty cylinder with radius 4 cm. How high does the water rise in the cylinder?
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