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
Answers
Answered by
0
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
Answered by
4
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
Similar questions
Math,
3 months ago
English,
3 months ago
Science,
6 months ago
Political Science,
10 months ago
Biology,
10 months ago