Please answer NOW!! NEED HELP QUICK!!

A sculpture is made of solid steel in the shape of a cone. The sculpture is 60 inches tall, and its base has a radius of 11 inches. If steel costs $0.45 per cubic inch, how much did the steel for the sculpture cost?
Use 3.14 for pi, and do not round your answer.

Respuesta :

Answer:

$3419.46

Step-by-step explanation:

First we need to find the volume of the cone using the formula for a cone.

h = height = 60 in

r = radius = 11 in

V = (hπr²)/3

V = (60*3.14*11²)/3

V = (60*3.14*121)/3

V = 22796.4/3

V = 7598.8

The volume of the cone is 7598.8 in³.

Now, we need to find the cost of the metal by multiplying the number of cubic inches we need by the cost per cubic inch.

cost = .45 * 7598.8

cost = 3419.46

The cost for the steel of the sculpture would be $3419.46