A vessel is in the form of hemispherical bowl

Asked by admin @ in Math viewed by 162 People

A vessel is in the form of hemispherical bowl surmounted by a hollow cylinder of same diameter. the diameter of the hemispherical bowl is 14 cm and the total height of the vessel is 13 cm. find the total surface area of the vessel.

Answered by admin @


Answer:

1134 square m.

Step-by-step explanation:

Diameter of hemispherical bowl is 14 cm

Radius = diameter/ 2 = 7 cm

Height of the vessel is 13 cm

Height of cylinder = Height of vessel - radius of hemisphere = 13-7 = 6cm

Total area of vessel : 2(\text{CSA of cylinder}+{\text{CSA of Hemisphere})

= 2(2\pi rh +2\pi r^2)

= 2\times 2 \pi \times r(h +r)

= 2\times 2\times \frac{22}{7}\times7(7+6)

= 1134

Thus the area of the vessel is 1134 square m.


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