Volume and Surface Area of Spheres

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where V is volume and r is the radius.

Front

What is the formula for the surface area of a sphere?

Back

A = 4πr², where A is surface area and r is the radius.

Front

If a sphere has a diameter of 15 inches, what is its radius?

Back

Radius = Diameter / 2 = 15 in / 2 = 7.5 in.

Front

Calculate the volume of a sphere with a radius of 6 cm.

Back

V = (4/3)π(6)³ = 904.32 cm³.

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.

Front

How do you convert diameter to radius?

Back

Divide the diameter by 2.

Front

What is the volume of a sphere with a radius of 3 cm?

Back

V = (4/3)π(3)³ = 113.1 cm³.

Front

What is the surface area of a sphere with a radius of 5 cm?

Back

A = 4π(5)² = 314.16 cm².

Front

If the volume of a sphere is 523.6 cm³, what is its radius?

Back

Radius = (3V/(4π))^(1/3) = 5 cm.

Front

What is the surface area of a sphere with a diameter of 10 cm?

Back

A = 4π(5)² = 314.16 cm².