Question

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

Answer 1

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