Calculate the area and volume of the ball of radius: a) r = 4 cm; b) √3 cm

a)

The area of the sphere with radius 4cm is 200.96cm²

The volume of the sphere with radius 4cm is 267.75 cm³

b)

The area of the sphere with radius √3 cm is 37.68cm²

The volume of the sphere with radius √3 cm is 21.756 cm³

Step-by-step explanation:

a)

To calculate the area of a sphere we have to use the following formula:

A = area

r = radius = 4cm

π = 3.14

A = 4πr²

we replace with the known values

A = 4 * 3.14 * (4cm) ²

A = 12.56 * 16cm²

A = 200.96cm²

The area of the sphere with radius 4cm is 200.96cm²

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius = 4cm

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (4cm) ³

V = 4.187 * 64 cm³

V = 267.75 cm³

The volume of the sphere with radius 4cm is 267.75 cm³

b)

To calculate the area of a sphere we have to use the following formula:

A = area

r = radius = √3 cm

π = 3.14

A = 4πr²

we replace with the known values

A = 4 * 3.14 * (√3 cm) ²

A = 12.56 * 3cm²

A = 37.68cm²

The area of the sphere with radius √3 cm is 37.68cm²

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius = √3 cm

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (√3 cm) ³

V = 4.187 * 3√3 cm³

V = 21.756 cm³

The volume of the sphere with radius √3 cm is 21.756 cm³