SOLUTION: A toy is made from a cone with a height H cm and a slant height h cm, a hemisphere with a radius 11cm.Calculate the total exterior surface area and volume of the toy in terms of H,

Algebra ->  Surface-area -> SOLUTION: A toy is made from a cone with a height H cm and a slant height h cm, a hemisphere with a radius 11cm.Calculate the total exterior surface area and volume of the toy in terms of H,      Log On


   

Question 999005: A toy is made from a cone with a height H cm and a slant height h cm, a hemisphere with a radius 11cm.Calculate the total exterior surface area and volume of the toy in terms of H, (pine) and h and Factorized completely
Answer by mananth(16946) About Me  (Show Source):
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Surface area of hemisphere = 2*pi*r^2
=2*pi*11^2
=242pi
Surface area of cone = pi *r*h
=11pih
Total surface area = 11pi(22+h) sq cm

Volume
V%5Bhemisphere%5D+=+%282%2F3%29pir%5E3
=(2662/3) pi
V%5Bcone%5D+=+%281%2F3%29+pi%2Ar%5E2%2AH
=(1/3)pi(121)*H
=(121/3)pi H
Total volume = %28121%2F3%29piH%2B%282662%2F3%29+pi
= %28121%2F3%29pi%28H%2B22%29+cm%5E3