Question

LUI IS
8 m. Calculate the total surface area of the rocket.
3. A solid is in the shape of a cone surmounted on a hemisphere, the
radius of each of them being 3.5 cm and the total height of the solid is
9.5 cm. Find the volume of the solid.
[CBSE 2012​

Answer 1

Explanation:

volume of the shape = volume of the hemisphere+volume of the cone

=2/3πr^3+1/3πr^2h

=1/3πr^2{2r+h}

=1/3 ×22/7 ×(3.5)^2 {2(3.5)+6}

=166.833 cm^3

Answer 2

Here is your answer ✅✅✅

Total height of the solid= 9.5 cm

Radius of the cone = Radius of the hemisphere = r = 3.5 cm

Radius of the hemisphere = height of hemisphere = 3.5 cm

Height of cone,( h) =total height of the solid - height of hemisphere

h= 9.5- 3.5 cm

h of cone =6cm

Volume of solid = volume of cone + volume of hemisphere

= 1/3πr²h+2/3πr³

= 1/3πr²(h+2r)

= 1/3×22/7×3.5×3.5×(6+2×3.5)

= 1/3×22/7×3.5×3.5×(6+7)

= 1/3×22/7×3.5×3.5×(13)

= 1/3×22×.5×3.5×(13)

= 500.5/3

= 166.83 cm³

Hence, the volume of the solid is 166.83 cm³