Question

a vessel in the form of a hemispherical bowl is 14 cm and the total height of and the total height of The vessel is 13 cm find the total surface area of vessel​

Answer 1

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>>A vessel is in the form of a hemispheric

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A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter of the sphere is 14cm and the total height of the vessel is 13cm. Find its capacity. (Take π=22/7)

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Solution

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Let r be the radius of the hemispherical bowl and h be the height of the cylinder.

Then, r=7cm and h=6cm

Total capacity of the bowl

= volume of the cylinder + volume of the hemisphere

=(πr

2

h+

3

2

πr

3

)cm

3

=πr

2

(h+

3

2

r)cm

3

=

7

22

×7

2

×(6+

3

2

×7)cm

3

=1642.66cm

3