Volumes of Solids

Front

What is the formula for the volume of a cylinder?

Back

V = B * h, where B is the area of the base and h is the height.

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius of the sphere.

Front

What is the formula for the volume of a cone?

Back

V = (1/3)B * h, where B is the area of the base and h is the height.

Front

What does the 'B' in the volume formula V = B*h stand for?

Back

Area of the base.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π(3²)(5) = 45π cm³ ≈ 141.37 cm³.

Front

What is the volume of a sphere with a radius of 4 cm?

Back

V = (4/3)π(4³) = (4/3)π(64) ≈ 268.08 cm³.

Front

What is the surface area formula for a sphere?

Back

SA = 4πr², where r is the radius.

Front

If a tennis ball has a diameter of 14 cm, what is its radius?

Back

Radius = diameter / 2 = 14 cm / 2 = 7 cm.

Front

What is the surface area of a tennis ball with a radius of 7 cm?

Back

SA = 4π(7²) ≈ 615.75 cm².

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

V = (1/3)π(3²)(9) = 27π cm³ ≈ 84.82 cm³.