The ratio of radii of two cylinder are 4:5whaere as that of their height 4:5 find the ratio of their volume and TSA
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Answer:
i) 64 :125
ii) 16 : 25
Step-by-step explanation:
let the radius of 1st cylinder is = 4x = r1
,, ,, ,, 2nd ,, ,, = 5x = r2
and the height of the 1st cylinder is = 4y = h1
the height of the 2nd cylinder is = 5y = h2
hence the ratio of their volume = r1²h1 : r2²h2
= 4x·4x·4y : 5x·5x·5y
= 64 : 125
hence the ratio of their TSA = 2πr1( r1 + h1) : 2πr2( r2+ h2)
= 4x (4x+4y) : 5x (5x+5y)
= 4·4 (x+y) : 5·5 (x+y)
= 16 : 25
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