Question

The curved surface area of a cylinder is 176 cm^2 and its area of the base is 38.5 cm^2. Find the volume of the cylinder. (Take π = 22/7)

Answer 1

Curved surface are = 176cm²

Base area = 38.5 cm²
Area = πr²

$\frac{385}{10} = \frac{22}{7} \times {r}^{2}$

$\frac{385 \times 7}{10 \times \times 22} = {r}^{2}$

r² = 3.5 cm


let the height be h

curved surface area = 2πrh


$176 = 2 \times \frac{22}{7} \times \frac{35}{10} \times h$
$\frac{176 \times 10 \times 7}{2 \times 22 \times 35} = h$
h = 8cm


Volume = πr²h

$= \frac{22}{7} \times \frac{35}{10} \times \frac{35}{10} \times 8$

= 308cm³