SSC CGL 2022 PYQ — Question 60

The correct answer is option 4 i.e. 1078

Concept Used :

1. CSA of right circular cylinder = $2\pi rh$ 

2. Area of base = $\pi r^2$ 

3. Volume of cylinder = $\pi r^2 h$ 

Solution:

Given that the CSA of cylinder = 616 cm² ,

                  The area of the base = 38.5 cm²

Now, 

Area of the base = $\pi r^2$

⇒ 38.5 = 22/7 × r²

⇒ r² = 49/4

⇒ r = 7/2 cm

Also, CSA of cylinder = $2\pi rh$ 

       ⇒ 616 = 2 × 22/7 × 7/2 × h

       ⇒ h = 28 cm

Now, volume of cylinder = $\pi r^2 h$ 

⇒ 22/7 × 7/2 × 7/2 × 28 

⇒ 49 × 22 = 1078.

Hence the required volume of cylinder is 1078 cm³.