Sculpture is in the shape of a cone. the sum of its radius and height is 30 in. use a graphing calculator to find the radius, to the nearest inch, that gives the largest possible volume for the sculpture.
a 10 in.

b 15 in.

c 20 in.

d 30 in.

Option C.  

Step-by-step explanation:

we know that

The volume of a cone is equal to

------> equation A

In this problem we have

-----> equation B

substitute equation B in equation A

using a graphing tool

the largest possible volume for the sculpture is for

see the attached figure

step-by-step explanation: it is d

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.