Question

A vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter is 14 cm and the height of the vessel is 13 cm. Find the capacity of the vessel.​

Answer 1

$1642.67 {cm}^{3}$

Step-by-step explanation:

Height of cylinder = Height of bowl − Radius of hemisphere = 13−7 = 6 cm

Now, capacity of bowl = Volume of hemisphere + volume of cylinder

$\frac{2}{3} \pi \: {r}^{3} + \pi \: {r}^{2} h$

$= \frac{2}{3} \times \frac{22}{7} \times {7}^{3} + \frac{22}{7} \times {7}^{2} \times 6$

$= \frac{2 \times 22 \times 49}{3} \: + 22 \times 42$

=$\frac{2156}{3} + 924$

$= 718.67 + 924$

$= 1642.67 {cm}^{3}$

Hope this helps you!!!

Answer 2

Answer:

total capacity = 1642.67cm3

Step-by-step explanation:

total capacity of the vessel = 1642.67cm3