Question 77

The internal and external radii of a hollow hemispherical vessel are 6 cm and 7 cm respectively. What is the total surface area (in cm$$^2$$) of the vessel?

Solution

Total surface area of the vessel = External surface area + internal surface area + upper portion area
r1 = 6 cm
r2 = 7 cm
= $$ 2 \pi (r2)^2 + 2 \pi (r1)^2 + \pi ((r2)^2 - (r1)^2)$$
= $$\pi[2 \times 7^2 + 2 \times 6^2 + (r2)^2 - (r1)^2]$$
= $$\pi[98 + 72 + 49 - 36] = 183\pi$$

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SSC CGL Tier-2 11th September 2019 Maths

The internal and external radii of a hollow hemispherical vessel are 6 cm and 7 cm respectively. What is the total surface area (in cm$$^2$$) of the vessel?

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