The total surface area of a solid cylinder is 297 sq. cm. If its radius is 3.5 cm, what is its volume?

Correct option is D

Given:
The total surface area of a solid cylinder is 297 sq. cm.
Radius is 3.5 cm
Formula Used:
Volume of the cylinder = π × r² × h 
Total Surface Area of Cylinder = 2 × π × r × h + 2 × π × r²
Solution:
Total surface area of the cylinder = 2 × π × r × h + 2 × π × r²
​$$\begin{aligned}&\Rightarrow 297 = 2 \times \left(\frac{22}{7}\right) \times 3.5 \times h + 2 \times \left(\frac{22}{7}\right) \times (3.5)^2 \\&\Rightarrow 297 = 22h + 77 \\&\Rightarrow h = 10 \text{ cm}\end{aligned}$$​​
Volume of the cylinder = $$\left(\frac{22}{7}\right) \times (3.5)^2 \times 10 = 385 \ \text{cm}^3$$​​