A vessel in the form of a hollow hemisphere mounted by a hollow cylind

1.	A vessel 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. Find the inner surface area of the vessel.
Answer» Given, Diameter of the hemisphere = 14 cm So, the radius of the hemisphere = 7 cm Total height of the vessel = 13 cm = h + r Now, Inner surface area of the vessel = 2 π r (h + r) = 2 (22/7)(7) (13) = 572 cm² Therefore, the inner surface area of the vessel is 572 cm².

A vessel 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. Find the inner surface area of the vessel.

Answer»

Given,

Diameter of the hemisphere = 14 cm

So, the radius of the hemisphere = 7 cm

Total height of the vessel = 13 cm = h + r

Now,

Inner surface area of the vessel = 2 π r (h + r)

= 2 (22/7)(7) (13)

= 572 cm²

Therefore, the inner surface area of the vessel is 572 cm².