Back to Details Practice: Use the formulas for the volumes of cylinders, cones, and spheres to solve problems. (NC.8.G.9) Open in Editor

Practice: Use the formulas for the volumes of cylinders, cones, and spheres to solve problems. (NC.8.G.9)

Targeted remediation practice

            📚 Mathematics
                            🎓 Grade 8
                                        ⏱️ 25 minutes
                    

Learning Objectives

Use the formulas for the volumes of cylinders, cones, and spheres to solve problems.

            Progress
            4 sections
        

1
Practice set 1

Question 1

A cone has radius 2 and height 5. What is its volume? (Use $V = \frac{1}{3}\pi r^2 h$ .)

$10\pi$
$\frac{40}{3}\pi$
$20\pi$
$\frac{20}{3}\pi$

Question 2

A sphere has radius 5. What is its volume? (Use $V = \frac{4}{3}\pi r^3$ .)

$\frac{500}{3}\pi$
$125\pi$
$500\pi$
$100\pi$

Question 3

A cylinder has radius 6 and height 7. What is its volume? (Use $V = \pi r^2 h$ .)

$42\pi$
$252\pi$
$84\pi$
$756\pi$

Question 4

A cone has radius 3 and height 5. What is its volume? (Use $V = \frac{1}{3}\pi r^2 h$ .)

$45\pi$
$30\pi$
$15\pi$
$16\pi$

Question 5

A sphere has radius 4. What is its volume? (Use $V = \frac{4}{3}\pi r^3$ .)

$\frac{259}{3}\pi$
$256\pi$
$\frac{256}{3}\pi$
$64\pi$

2
Practice set 2

Question 6

A cylinder has radius 5 and height 5. What is its volume? (Use $V = \pi r^2 h$ .)

$25\pi$
$125\pi$
$50\pi$
$375\pi$

Question 7

A cone has radius 6 and height 9. What is its volume? (Use $V = \frac{1}{3}\pi r^2 h$ .)

$216\pi$
$54\pi$
$324\pi$
$108\pi$

Question 8

A sphere has radius 3. What is its volume? (Use $V = \frac{4}{3}\pi r^3$ .)

$37\pi$
$36\pi$
$27\pi$
$108\pi$

Question 9

A cylinder has radius 3 and height 5. What is its volume? (Use $V = \pi r^2 h$ .)

$135\pi$
$45\pi$
$30\pi$
$15\pi$

Question 10

A cone has radius 5 and height 3. What is its volume? (Use $V = \frac{1}{3}\pi r^2 h$ .)

$75\pi$
$25\pi$
$15\pi$
$50\pi$

3
Practice set 3

Question 11

A sphere has radius 2. What is its volume? (Use $V = \frac{4}{3}\pi r^3$ .)

$8\pi$
$\frac{32}{3}\pi$
$32\pi$
$16\pi$

Question 12

A cylinder has radius 5 and height 8. What is its volume? (Use $V = \pi r^2 h$ .)

$80\pi$
$40\pi$
$600\pi$
$200\pi$

Question 13

A cone has radius 3 and height 8. What is its volume? (Use $V = \frac{1}{3}\pi r^2 h$ .)

$25\pi$
$24\pi$
$48\pi$
$72\pi$

Question 14

A sphere has radius 2. What is its volume? (Use $V = \frac{4}{3}\pi r^3$ .)

$8\pi$
$\frac{32}{3}\pi$
$16\pi$
$32\pi$

Question 15

A cylinder has radius 5 and height 6. What is its volume? (Use $V = \pi r^2 h$ .)

$150\pi$
$60\pi$
$30\pi$
$450\pi$

4
Practice set 4

Question 16

A cone has radius 5 and height 9. What is its volume? (Use $V = \frac{1}{3}\pi r^2 h$ .)

$75\pi$
$150\pi$
$45\pi$
$225\pi$

Question 17

A sphere has radius 2. What is its volume? (Use $V = \frac{4}{3}\pi r^3$ .)

$16\pi$
$32\pi$
$\frac{32}{3}\pi$
$8\pi$

Question 18

A cylinder has radius 5 and height 6. What is its volume? (Use $V = \pi r^2 h$ .)

$150\pi$
$30\pi$
$60\pi$
$450\pi$

Question 19

A cone has radius 3 and height 7. What is its volume? (Use $V = \frac{1}{3}\pi r^2 h$ .)

$63\pi$
$22\pi$
$42\pi$
$21\pi$

Question 20

A sphere has radius 6. What is its volume? (Use $V = \frac{4}{3}\pi r^3$ .)

$864\pi$
$288\pi$
$216\pi$
$144\pi$

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