Question

The ratio between the radius of the base and the height of a cylinder is 2: 3 find the total surface area of the cylinder if its volume is 1617 cm3.

Answer 1

r = 2x ,h= 3x and
22
$\frac{22}{7} \times {4}^{2} \times 3x = 1617 \\ x3 \times \frac{1617 \times 7}{22 \times 12} = 42.875 = (3.5)3 \\ x = 3.5 \\ r = 7 \: and \: h = 10.5 \\ hence \: tsa = 2 \times \frac{22}{7} \times 7 \times 17.5 = 770cm2$