the radius and height of a right circular circular cylinder are in the ratio 1 : 3 find its total surface area if its volume is 3234 cu cm
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Answer:
=1232 sq.cm
Step-by-step explanation:
Ratio of radius and height=1:3
Let the r =x and h=3x
Volume of the cylinder=3234 cu.cm
πr square h=3234
22/7 × x×x×3x=3234
22/7 × 3x cube=3234
3x cube=(3234×7)/22
x cube=1029/3
x cube=343
x= cube root of 343
x=7
Radius=x=7cm
Height=3x=3×7=21 cm
TSA of the cylinder=2πr(r+h)
=2×22/7 ×7(7+21)
=44(28)
=1232 sq.cm
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