Find the volume and surface area of the composite figure. Give four answer in terms of π. HELP NEEDED NOW!!! THE RED IS THE ONE I GOT WRONG!!

Question

asked Sep 10, 2022 162k views

1 Answer

Kazi · Answer 1 · 2022-09-16T22:01:44+0000

Answer:

Divide the figure above into a cylinder and a dome

+) the volume of the dome is

$v1 = (1)/(12) \pi6 {}^(3) = 18\pi$

the surface area is

$s1 = \pi3 {}^(2) = 9\pi$

+) the volume of the cylinder is

$v2 = \pi.3 {}^(2) .13 = 117\pi$

the surface area is

$s2 = 2\pi.3.13 + 2\pi.3 {}^(2) = 96\pi$

so the volume of this figure is

$v = v1 + v2 = 18\pi + 117\pi = 135\pi$

the surface area of this figure is

$s = 9\pi + 96\pi = 105\pi$