# A solid cylinder has radius of base 14 cm and height 15 cm. 4 identica

| 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. The height of the small cylinder is 5 cm. what is the total surface area (in cm

^{2}) of the remaining part?A. 3740

B. 3432

C. 3124

D. 2816

### Right Answer is: B

#### SOLUTION

Since 4 identical cylinders has been cut from each base. So total no. of bases = 8

C.S.A. of larger cylinder + 8 × C.S.A. of smaller cylinder + Area of both bases

= 3432 cm^{2}**Note :**

The area which we have to reduce as the surface area of one base of the smaller cylinder, will also be added as when the smaller cylinder is cut out from the base it will leave the similar base area inside the hollow part.

And won’t have to calculate that portion.

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A solid cylinder has radius of base 14 cm and height 15 cm. 4 identica