The ratio between the radius of the base and height of a cylinder is 2 : 3 find the total surface area of a cylinder if its volume is 1617 cm cube
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770 sq cm. is correct ans
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Step-by-step explanation:
Let radius(r) be 2x & let height(h )be 3x
given : volume of cylinder =1617 cm³
=> πr²h = 1617cm³ (taking π as 22/7)
=> 22/7 x (2x)² x 3x = 1617cm²
22/7 x 12x³ = 1617
12x³ = 1617 x 7/22
x³ = 343 / 8
x = ³√343 /8
x = 7/2
substitute x value in r (2x) and h (3x)
r =7
h = 21/2
total surface area = 2πr ( h + r )
= 2 x 22 / 7 x 7 ( 21 /2 +7 )
= 770 cm²
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