Cone A has a radius of 12 inches and cone b has a radius of 30 inches. if the cones are similar and the volume of cone a is 48 ft3, then find the volume of cone b

750ft^3

Step-by-step explanation:

Given:

Volume of cone a=48ft^3

Radius of a=12 inches

Radius of b=30 inches

Volume of cone b=?

The linear state factor=ratio of the radio

=30/12

=2.5

Volume scale factors=linear state factor^3

=2.5^3

=15.625

Volume of Cone B = volume of Cone A * volume scale factor

=48 * 15.625

= 750 ft^3