Question
Download Solution PDFA vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. What is the inner surface area of the vessel?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
CSA of cylinder = 2πrh
CSA of hemisphere = 2πr2
Calculation:
Since the diameter is the same for both the cylinder as well as the hemisphere.
∴ Radius, r = 14/2 = 7 cm
Height of the cylinder, h = 13 - 7 = 6 cm
So, the surface area of the vessel = CSA of the cylinder (as the cylinder is hollow) + CSA pf hemisphere
⇒ 2πrh + 2πr2
⇒ 2πr(h + r)
\(⇒ 2× \frac{22}{7}× 7(6+7)\)
⇒ 44 × 13 = 572 cm2
Hence, the surface area of the vessel is 572 cm2.
Last updated on Dec 9, 2024
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