Question

A solid metal cylinder of base radius 9 cm and height 20 cm is melted and recast into cones of the same base radius and height of that of the cylinder. What is the volume of the cylinder? How many cones can be made?

Answer 1

Answer:

Given that:

h=20cm,r(for cylinder)=1.5cm,R(for sphere)=1.5cm

Solution:

Volume of cylinder=π×r

2

×h

=

7

22

×(1.5)

2

×20cm

3

Volume of Sphere

3

4

×πr

3

=

3

4

×

7

22

×(1.5)

3

cm

3

Number of spheres cast from the cylinder =

Volume of sphere

Volume of cylinder

=

3

4

×

7

22

×(1.5)

3

cm

3

7

22

×(1.5)

2

×20cm

3

=

4×1.5

3×20

=10

So, number of spheres can be cast from cylinders =10