solve question number 27
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TSA = 462 cm^2
CSA = 462/3 = 154 cm^2
Now,
TSA/CSA = 462/154
=> 2pi r(h+r) / 2pi r h= 3
=> (h+r) /r = 3
=> h+r = 3r
=> h = 2r
Now,
CSA = 154
=> 2pi r h = 154
=> 2*22*r*2r = 154
=> 2 *r*2r = 154 * 7 /22
=> 4r^2 = 49
=> r^2 = 49/4
=> r = 7/2
Radius = 3.5 cm
Height = 7 cm
Volume = pi *r^2 h
= 22*7*7*7 / 7*2*2
= 11*7*7/2
= 11*49/2
= 539/2
= 269.5
CSA = 462/3 = 154 cm^2
Now,
TSA/CSA = 462/154
=> 2pi r(h+r) / 2pi r h= 3
=> (h+r) /r = 3
=> h+r = 3r
=> h = 2r
Now,
CSA = 154
=> 2pi r h = 154
=> 2*22*r*2r = 154
=> 2 *r*2r = 154 * 7 /22
=> 4r^2 = 49
=> r^2 = 49/4
=> r = 7/2
Radius = 3.5 cm
Height = 7 cm
Volume = pi *r^2 h
= 22*7*7*7 / 7*2*2
= 11*7*7/2
= 11*49/2
= 539/2
= 269.5
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2
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