Question

i will mark you as brainliest

a vessel is in the form of hemispherical bowl mounted by a hollow cylinder the diameter of the hemisphere is 14cm & the total height of the vessel is 13 cm find the capacity of the vessel

Answer 1

HOPE IT HELPS!!!!!!!❤❤❤❤

Answer 2

Answer:

1642.67 cm³

Step-by-step explanation:

Given, Diameter of the hemisphere = 14 cm.

Then, the radius of the hemisphere = 7 cm.

Given that total height of the vessel = 13 cm.

Height of cylinder = Height of the vessel - Radius of hemisphere

                              = 13 - 7

                              = 6 cm.

∴  Capacity of the vessel = Volume of hemisphere + Volume of cylinder

= (2/3) πr³ + πr²h

= (2/3) * (22/7) * (7)³ + (22/7) * (7)² * 6

= 22/7[(2/3) * 7³ + 294]

= 22/7[522.67]

= 11498.74/7

= 1642.67 cm³

Therefore, Capacity of the vessel = 1642.67 cm³.

Hope it helps!