Volume of a Cone and a Sphere

VOLUME--Cylinders, Cones, Spheres

​--Know the formulas for volume of cylinders, cones, spheres and be able to use them to solve problems

By Tiffany Weekly

You might think about volume when:

• filling up your gas tank with gas

• thinking about how much water is in a swimming pool or hot tub

• filling up measuring cups when you are baking

• filling up your glass with water, or chocolate milk :)

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I need volume...

Volume of Cylinder

Multiple Choice

What's the volume of the cylinder?

• $$V=588\pi$$

• $$V=1008\pi$$

• $$V=168\pi$$

• $$V=1846\pi$$

Multiple Choice

A can of pasta has a diameter of 3 inches and a Volume of 50 cubic inches of sauce. What is the height of the can? Round your answer to the nearest tenth.

• 1.8 inches

• 5.3 inches

• 10.6 inches

• 7.1inches

Multiple Choice

 A cylinder has a height of 12 inches and a radius of 2.5 inches. What is the volume of the cylinder? Use 3.14 for pi and Round your answer to the nearest tenth. 

• $$V=188.4\ in^3$$  

• $$V=235.5\ in^3$$  

• $$V=75\ in^3$$  

• $$V=94.2\ in^3$$  

Multiple Choice

What is the radius of the cylinder on the image?

• 9 in

• 6 in

• 3 in

• 4.5 in

Volume of Cone

Multiple Choice

What is the volume of the cone?

• 107 in³

• 480 in³

• 160 in³

• 53 in³

Multiple Choice

• $$18.67\pi\ cm^3$$

• $$32.67\pi\ cm^3$$

• $$98\pi\ cm^3$$

• $$175.84\pi\ cm^3$$

Multiple Choice

Find the volume of the cone. (**hint: you must first find the radius using pythagorean theorem). Use 3.14 for pi. Round to the nearest tenth.

• 266.3 ft³

• 209.3 ft³

• 235.2 ft³

• 176.4 ft³

Multiple Choice

$$A\ cone\ has\ a\ volume\ of\ 320\pi\ mm^3\ and\ a\ base\ radius\ of\ 9mm.$$  What is the height of the cone? Round the the nearest whole number.

• 10 mm

• 9 mm

• 12 mm

• 11 mm

Volume of Spheres

Multiple Choice

A golf ball has a diameter of 1.68 inches. What is the volume of the golf ball? Use 3.14 for pi and round your answer to the nearest hundredth.

• 19.85 in³

• 2.95 in³

• 2.48 in³

• 11.82 in³

Multiple Choice

An inflated spherical shaped balloom is filled with 112 in³ of air. What is the radius of the balloon? Use 3.14 for pi and round your answer to the nearest inch.

• 3 in

• 5 in

• 2 in

• 4 in

Multiple Choice

What is the volume of the sphere? Round your answer to the nearest tenth.

• 1071.8 ft³

• 200.9 ft³

• 4287.1 ft³

• 17,148.6 ft³

Multiple Choice

Find the volume of the hemisphere. Use 3.14 for pi and round your answer to the nearest tenths.

• 523.3 yd³

• 32.7 yd³

• 65.4 yd³

• 87.2 yd³