Question

A disposable cup is in the shape of a cone, as shown. The cup has a volume of about 48.8 in^3. What is the radius of the cup to the nearest inch?

Answer 1

Volume of cone, V = 48.8in³

Height, h = 6in

radius, r = ?

from formula,

V of cone = πr²h/3

3V = πr²h

r² = 3V/πh

r² = (3*48.8)/π*6

r² = 7.767in

r = 2.867in

r = 3in

The radius of the cone is 3in.