Volume and Capacity Problems

This video tutorial covers Math 8 Unit 5 Lesson 21 on calculating volumes of cylinders, cones, and spheres. It includes a detailed explanation of the formulas used to find these volumes, with examples and class activities to reinforce learning. The lesson also provides homework problems and a review of key concepts to ensure understanding.

What is the correct volume of a sphere with a radius of 9 cm?

• 972π

• 972

• 108π

• 108

If the volume of a sphere is 288π, what is the radius?

• 4

• 7

• 5

• 6

What is the volume of a cylinder with a radius of 1.5 cm and a height of 8 cm?

• 12π

• 30π

• 18π

• 24π

Which shape cannot hold 18π cm³ of water?

• Cone

• Cylinder

• Rectangular Prism

• Sphere

How tall should an ice cream cone be to hold a scoop with a 3-inch radius?

• 12 inches

• 9 inches

• 6 inches

• 15 inches

What is the volume of a sphere with a diameter of 6 inches?

• 36π in³

• 54π in³

• 72π in³

• 90π in³

How many bouncy balls with a 1-inch radius can fit in a sphere with a 9-inch radius?

• 243

• 512

• 324

• 432

What percentage of the large sphere's volume is occupied by the bouncy balls?

• 25%

• 66%

• 33%

• 50%

What is the volume of a cylindrical tank with a radius of 7 and a height of 3?

• 600

• 500

• 461.58

• 550

At what volume will the sensor alert the farmer to refill the tank?

• 92.32

• 100

• 120

• 110