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

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy