If the volume of the cone is 480 in?, what is its surface area? Use 3.14 for it and round the answer to the nearest hundredth.
HELP ASAP

This is a two part problem. The first part involves using the given volume and height to determine the radius r.

V = volume of the cone

V = (1/3)pi*r^2*h

480 = (1/3)*3.14*r^2*8

480*3 = 3.14*8*r^2

1440 = 25.12r^2

25.12r^2 = 1440

r^2 = 1440/(25.12)

r^2 = 57.32484076 approximately

r = sqrt(57.32484076)

r = 7.57131697659

r = 7.5713

That's the approximate radius value.

The second part is where we compute the surface area based on the radius we found, and also the given height.

SA = surface area of the cone

SA = pi*r^2 + pi*r*sqrt(r^2 + h^2)

SA = 3.14*(7.5713)^2 + 3.14*7.5713*sqrt((7.5713)^2 + 8^2)

SA = 441.862415073011

SA = 441.86

The units for the surface area are in square inches, which abbreviates to in^2.

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!