Volume and Surface Area Formula

Surface Area & Volume of Spheres

By Dr. Tom Giles

Formulas for Spheres

​V = 4/3 π r³

​Volume

​SA = 4 π r²

​Surface Area

Surface Area of Spheres

Example 1

Multiple Choice

Which formula calculates the volume of a sphere?

• $$\frac{4}{3}\pi r^3$$

• $$4\pi r^2$$

• $$\frac{1}{3}\pi r^3$$

• $$\pi r^2$$

Multiple Choice

Which formula calculates the surface area of a sphere?

• $$\frac{4}{3}\pi r^3$$

• $$4\pi r^2$$

• $$\frac{1}{3}\pi r^3$$

• $$\pi r^2$$

Multiple Choice

Find the surface area of the following sphere.

• 452.16 mm²

• 108.8 mm²

• 904.32 mm²

• 6658.56 mm²

Multiple Choice

Find the surface area of the following sphere. Round to the nearest whole number.

• 314.16 in²

• 166.67 in²

• 314 in²

• 521.24 in²

Multiple Choice

Find the surface area of the sphere

• 11494.04cm²

• 2463.01cm²

• 1436.76cm²

• 615.75cm²

Multiple Choice

Find the surface area of the sphere

• 113.1cm²

• 452.39cm²

• 904.78cm²

• 268.08cm²

where r is the radius of the sphere

Multiple Choice

Find the Volume of the ball

• $$288\pi\ cm^3$$

• $$2304\pi\ cm^3$$

• $$288\ cm^3$$

• $$2304\ cm^3$$

Multiple Choice

Which is the volume of the sphere?

• $$85\ cm^3$$

• $$682\ cm^3$$

• $$268\ cm^3$$

• $$2145\ cm^3$$

Multiple Choice

Find the volume of the given sphere.

• 1,563.5 cubic in.

• 1,325.5 cubic in.

• 1,129.9 cubic in.

• 1,819.6 cubic in.

Multiple Choice

Find the volume.

• 779.6 cubic mm

• 883.6 cubic mm

• 840.6 cubic mm

• 805.9 cubic mm

Multiple Choice

Find the volume of the given hemisphere.

• 1,216.7 cubic in.

• 879.6 cubic in.

• 991.4 cubic in.

• 1,072.3 cubic in.

Multiple Choice

Find the volume of the sphere with a surface area of $$324\pi$$  

• $$2916\pi$$

• $$972\pi$$

• $$108\pi$$

• $$36\pi$$

Fill in the Blanks

A ball has a circumference of 12.6 inches. Find the surface area to the nearest tenth.

Fill in the Blanks

A ball has a circumference of 12.6 inches. Find the volume to the nearest tenth.