Area & Volume of Cylinders, Cones & Spheres

Cylinders

100

The Lateral Area of a Cylinder with d = 32 in. & h = 10 in.

What is 1005.3 in²?

200

The formula for Lateral Area of a Cylinder

What is 2(Pi)rh?

300

The volume of a cylinder with a radius of 6 cm and an height of 11.3 cm.

What is 1278.0 cm³?

400

The Lateral Area of a cylinder is 100 ft². Its height is 10 ft. Find the radius.

What is 1.6 ft?

500

The SA of a cylinder = 80 m². If its dimensions are increased to one and a half times their original length, what is its new SA?

What is 180 m²?

Cones

100

The volume of a cone with a radius of 5.5 in. and an height of 12 in.

What is 380.1 in³?

200

The LA of a cone with a diameter of 15 yd and slant height of 20 yd.

What is 471.2 yd²?

300

The formula for volume of a cone

What is 1/3(pi)r²h?

400

The total surface area formula for cones.

What is (pi)rl + (pi)r²?

500

The volume of a cone is 7560 mm³.  What is the volume of a similar cone that is 1/6 the size the original?

What is 35 mm³?

Spheres

100

The formula for the volume of a sphere.

What is 4/3(pi)r³?

200

The volume of a sphere with a diameter of 36 cm.

What is 24,429.0 cm³?

300

The volume of a sphere with radius 8.7 ft.

What is 2758.3 ft³?

400

The volume of a hemisphere with diameter 10 m.

What is 261.8 m³?

500

The spherical ball has a diameter of 8 in.  The ball has a slow leak that causes the air to escape at a rate of 2.5 in³ per second.  How long would it take for the ball to deflate?

What is 107.2 seconds?

Bonus

100

Cylinders, cones, and spheres are examples of non-_____________.

What are non-polyhedrons?

200

The formula for the circumference of a circle.

What is 2(pi)r or (pi)d?

300

The circumference of a circle with radius 3 m.

What is 18.8 m?

400

The shape of any cross section of a sphere.

What is a circle?

500

The shape of the cross section of a cone that is perpendicular to the base.

What is a triangle?