SSC CGL 2018 PYQ — Question 43

SSC CGL Tier II Quant - 17/02/2018 • Quantitative Aptitude • Q43

A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Height of small cylinder is 5 cm. What is the total surface area (in cm²) of the remaining part ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 ie 3432.

Remaining T.S.A = T.S.A(initial) + 8 × C.S.A (small cylinder)

                              = 2πr(r + h) + 8 × 2πr’h

                             = 2π × 14 × 29 + 8 × 2π (7/2) × 5

                             = 2π(14 × 29 + 20 × 7)

                            = 2π (546)

                             = 3432