Volume Calculations of 3D Shapes

This video tutorial covers Math 8 Unit 5 Lesson 21, focusing on calculating volumes of cylinders, cones, and spheres. It includes solving problems related to these shapes, such as determining the volume of a sphere, comparing volumes of different shapes, and practical applications like an ice cream cone and a bouncy ball dispenser. The lesson also involves class activities to enhance problem-solving skills.

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

• 972

• 972π

• 108π

• 108

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

• 7

• 5

• 6

• 4

What is the volume of a cylinder with a diameter of 3 cm and height of 8 cm?

• 48π

• 36π

• 24π

• 18π

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?

• 9 inches

• 6 inches

• 12 inches

• 15 inches

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

• 108π in³

• 36π in³

• 54π in³

• 72π in³

What is the volume of a cone with a radius of 3 and height of 6?

• 18π

• 27π

• 36π

• 45π

What proportion of a large sphere's volume is occupied by smaller spheres if there are 243 bouncy balls inside?

• 50%

• 25%

• 66%

• 33%

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

• 147π

• 294π

• 441π

• 588π

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

• 230.79

• 461.58

• 184.632

• 92.316