MATH SOLVE

5 months ago

Q:
# A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest whole number.

Accepted Solution

A:

area of a cylinder is the area of the top + the area of the bottom + the area of the wrap-around (lateral)

top: pi*r*r=81pi

bottom: 81pi

lateral: 2pi*r*h=18pi*h, h is unknown, but you don't have to solve it.

add them up: 81pi +81pi + 18h*pi=1850

pi*h=(1850-162pi)/18, (plug this in the volume formula below.)

volume of a cylinder: the area of the base × the height =81pi*h

volume=81[1850-162pi)/18]

use your calculator: V=6036

please double check my calculation by yourself.

top: pi*r*r=81pi

bottom: 81pi

lateral: 2pi*r*h=18pi*h, h is unknown, but you don't have to solve it.

add them up: 81pi +81pi + 18h*pi=1850

pi*h=(1850-162pi)/18, (plug this in the volume formula below.)

volume of a cylinder: the area of the base × the height =81pi*h

volume=81[1850-162pi)/18]

use your calculator: V=6036

please double check my calculation by yourself.