Question

Find the volume of the sphere. Round your answer to the nearest tenth.Use 3.14 for n.A sphere has a diameter of 4.2 centimeters.The volume of the sphere is about1 cm²

Answer 1

Recall that the formula for the volume of a sphere of radius R is given by:

`\text{Volume}=(4)/(3)\pi\cdot R^3`

Notice that you are given the diameter of the sphere, and not the radius, so make sure we divide by two the measure of the diamtere in order to find the radius:

Radius = 4.2 cm / 2 = 2.1 cm

So we use this value in the above formula to find the volume:

`\text{Volume}=(4)/(3)\pi\cdot(2.1)^3=38.772`

So we round the answer as requested to one decimal as shown below

Volume = 38.8 cm^3