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?
A. 8338
B. 8951
C. 3432
D. 7979
Answer: Option C
Solution (By Examveda Team)
Total surface area of remaining part 6
= 16πrh + 2πR2 - 8πr2 + 2πRH + 8πr2
= 2π(8rh + R2 - 4r2 + RH + 4r2)
= 2π(8 × 3.5 × 5 + (14)2 - 4 × 3.5 × 3.5 + 14 × 15 + 4 × (3.5)2)
= 3432
This Question Belongs to Arithmetic Ability >> Mensuration 3D
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B. 4.224 cm3
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A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
A. $${2^{\frac{3}{2}}}:1$$
B. $${2^{\frac{2}{3}}}:1$$
C. $${4^{\frac{2}{3}}}:1$$
D. $${2^{\frac{1}{3}}}:1$$
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