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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

If The Volume Of The Cone Is 480 In What Is Its Surface Area Use 314 For It And Round The Answer To The Nearest Hundredth HELP ASAP class=

Sagot :

Answer:  441.86

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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.

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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.

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