SSC CHSL 2024 PYQ — Question 67

The correct answer is option 3 i.e. $\frac{660}{7}$ cm².

Given that, height of right circular cylinder, h = 14 cm

Curved surface area(CSA) of cylinder = 88 cm²

Also, CSA of cylinder = $2 \pi rh$

And Total surface area(TSA) of cylinder = $2 \pi r(r + h)$

According to the given question,

$2 \pi rh$ = 88

⇒ $2 \times {22 \over 7} \times r \times 14$ = 88

⇒ r = 1 cm

Now, TSA = $2 \pi r(r + h)$

⇒ TSA = $2 \times {22 \over 7} \times 1(1 + 14)$

⇒ TSA = $2 \times {22 \over 7} \times 15$

⇒ TSA = $660\over 7$ 

Hence the total surface area of the cylinder is $660\over 7$ cm².