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

Radius of a hemisphere = Radius of the cylinder

Height of the cylinder (h) = 13 − 7 = 6 cm

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

=`pi"r"^2"h" + 2/3 pi"r"^3`

= `pi"r"^2("h" + (2"r")/3)`

= `22/7 xx 7 xx 7 (6 + (2 xx 7)/3)`

= `22 xx 7 xx ((18 + 14)/3)`

= `22 xx 7 xx 32/3"cm"^3`

Capacity of the vessel = 1642.67 cm³