Multiple choice

A metallic cylinder with 70 cm height and base diameter 15 cm is surmounted by a hemisphere of same diameter. Find the mass of the solid; given that 1 cm3 of metal has 10 g of mass (approximately). (Take π = 22/7)

  1. 135.98 kg

  2. 132.59 kg

  3. 133.58 kg

  4. 130.95 kg
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cylinder = pi * r^2 * h = (22/7) * 7.5^2 * 70 = 12375 cm^3. Volume of hemisphere = (2/3) * pi * r^3 = (2/3) * (22/7) * 7.5^3 = 883.57 cm^3. Total volume = 13258.57 cm^3. Mass = 13258.57 * 10 g = 132585.7 g = 132.59 kg.

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