The total surface area of a solid hemisphere is 192π cm2. A right circular cone whose base coincides with the flat surface of the hemisphere and with a height equal to the radius of the hemisphere is removed. Find a) the volume of the remaining solid, leaving your answer in terms of π. b) the total surface area of the remaining solid, giving your answer correct to one decimal place.   Could you please go through this in a little more detail? I am having a lot of trouble trying to understand this. Thank you so so much!

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 32E
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The total surface area of a solid hemisphere is 192π cm2. A right circular cone whose base coincides with the flat surface of the hemisphere and with a height equal to the radius of the hemisphere is removed. Find

a) the volume of the remaining solid, leaving your answer in terms of π.

b) the total surface area of the remaining solid, giving your answer correct to one decimal place.

 

Could you please go through this in a little more detail? I am having a lot of trouble trying to understand this. Thank you so so much!

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