Volume of Spheres and Cones - Volume Problems - Solve in Terms of pi

Sep 30, 2026

Uploaded by dhado

Volume problems for spheres and cones, solved using pi-based formulas. The worksheet states V = 4/3(pi)(r^3) for spheres and V = 1/3(pi)(r^2)(h) for cones, then asks for volumes in cubic units based on given radii, heights, and dimensions. It includes multiple word problems (rubber ball, funnel, snowball, ball bearing, snow globe, cone-shaped paper, gum drop, sand pile, planet model, snow cone, bowling ball, megaphone, orange, planetarium dome). An answer key provides final expressions like 36π, 24π, 972π, 64π, and 50π.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Sphere volume using V = 4/3(π)r^3

Cone volume using V = 1/3(π)r^2h

Word problems and answer key

Volume of Spheres and Cones (Word) Name: | Solve each problem in terms of pi. Use V = 4/3(pi)(r^3) for spheres and V = 1/3(pi)(r^2)(h) for cones.
1) A rubber ball is a sphere with a radius of 3 centimeters. What is the volume of the ball, in cubic centimeters, in terms of pi?
2) A funnel is shaped like a cone with a radius of 2 centimeters and a height of 18 centimeters. What is the volume of the funnel, in cubic centimeters, in terms of pi?
3) Tiffany rolled a snowball into a sphere with a circumference of 6π inches. What is the volume of the snowball, in cubic inches, in terms of pi?
4) A ball bearing is a sphere with a radius of 9 millimeters. What is the volume of the ball bearing, in cubic millimeters, in terms of pi?
5) A snow globe holds a sphere of water with a circumference of 18π inches. What is the volume of the sphere, in cubic inches, in terms of pi?
6) Nancy rolled a piece of paper into a cone with a radius of 3 centimeters and a height of 6 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi?
7) A gum drop candy is a sphere with a radius of 6 centimeters. What is the volume of the candy, in cubic centimeters, in terms of pi?
8) A pile of sand is shaped like a cone with a radius of 4 feet and a height of 6 feet. What is the volume of the sand pile, in cubic feet, in terms of pi?
9) A planet in a model is a sphere with a radius of 9 centimeters. What is the volume of the model planet, in cubic centimeters, in terms of pi?
10) A snow cone is shaped like a cone with a radius of 4 centimeters and a height of
12 centimeters. What is the volume of the snow cone, in cubic centimeters, in terms of pi?
11) A bowling ball is a sphere with a diameter of 18 inches. What is the volume of the bowling ball, in cubic inches, in terms of pi?
12) A megaphone is shaped like a cone with a radius of 2 centimeters and a height of 12 centimeters. What is the volume of the megaphone, in cubic centimeters, in terms of pi?
13) An orange is a sphere with a circumference of 6π inches. What is the volume of the orange, in cubic inches, in terms of pi?
14) A planetarium dome is a sphere with a radius of 9 meters. What is the volume of the dome, in cubic meters, in terms of pi?
15) Rachel rolled paper into a cone with a radius of 5 centimeters and a height of 6 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi? | | | | Answers
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Math
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11-15 | 93 | 87 | 80 | | 73 | 67 | 60 | 53 | 47 | 40 | 33 | | | 27 | 20 | 13 | | 7 | 0 | | | | | | Volume of Spheres and Cones (Word) Name: Answer Key | Solve each problem in terms of pi. Use V = 4/3(pi)(r^3) for spheres and V = | | | | | Answers | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1/3(pi)(r^2)(h) for cones.
1) A rubber ball is a sphere with a radius of 3 centimeters. What is the volume of the ball, in cubic centimeters, in terms of pi?
2) A funnel is shaped like a cone with a radius of 2 centimeters and a height of 18 centimeters. What is the volume of the funnel, in cubic centimeters, in terms of pi?
3) Tiffany rolled a snowball into a sphere with a circumference of 6π inches. What is the volume of the snowball, in cubic inches, in terms of pi?
4) A ball bearing is a sphere with a radius of 9 millimeters. What is the volume of the ball bearing, in cubic millimeters, in terms of pi?
5) A snow globe holds a sphere of water with a circumference of 18π inches. What is the volume of the sphere, in cubic inches, in terms of pi?
6) Nancy rolled a piece of paper into a cone with a radius of 3 centimeter

FAQs

What formulas are used to find the volume of a sphere and a cone?

Use V = 4/3(π)(r^3) for spheres and V = 1/3(π)(r^2)(h) for cones.

How do you handle problems that give a sphere’s circumference instead of radius?

Convert circumference to radius using C = 2πr, then substitute the radius into V = 4/3(π)(r^3).

Where can the final volume answers be found?

The document includes an Answer Key section listing results for problems 1 through 15.

Sep 30, 2026

Uploaded by dhado