Question

how many solid cones of radius 2 cm and height 1cm can be made from a solid sphere of lead of radius 3cm by melting

Answer 1

Answer:

27

Step-by-step explanation:

vol. of sphere=nxvol. of cones

then n=vol.of sphere/vol.cones

4/3πr^3/1/3πr^2h

36π/4/3π

=27

therefore 27 cones are required

Answer 2

Given:

radius of cone = 2 cm

height of cone = 1 cm

radius of sphere = 3 cm

To Find:

How many solid cones of radius 2 cm and height 1cm can be made from a solid sphere of lead of radius 3cm by melting

Solution:

The volume of sphere=n x volume  of cones

Then,

n=$\frac{volume of sphere} {volume of cone}$

n =$\frac{\frac{4}{3}\pi r^{3} }{\frac{1}{3}\pi r^{2} h}$

$n = \frac{\frac{4}{3}\pi (3)^{3} }{\frac{1}{3}\pi (2)^{2} *1}$

$n=\frac{{36}\pi }{\frac{4}{3}\pi }$

n = 36× ${\frac{3}{4} }$

n= 27

Therefore, 27 cones are required