A solid cylinder has radius of base 14 cm and height

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?
Mensuration 3D mcq question image

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

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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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?

Solution(By Examveda Team)

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