Question
The ratio between he radius of the base and he height of a cylinder is 2 : 3 . If its volume is 12936 cu.cm., the total surface area of the cylinder is :
Answer: Option B
Was this answer helpful ?
Let radius = 2`x` and height = 3`x` , Then ,
`22/7 xx (2x)^2 xx 3x = 12936`
`hArr x^3 = (12936 xx 7/22 xx 1/12)`
`hArr x^3 = 343` `hArr x^3 = 7^3`
`:.` `x `= 7, So, radius = 14 cm and height = 21 cm.
`:.` Total surface area = `2 xx 22/7 xx 14 xx (21 + 14)`
= `(2 xx 22/7 xx 14 xx 35) cm^2` = `3080 cm^2`
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution