Question

A solid cylinder with a conical cavity as shown in the figure is melted and cast into 4 identical solid spheres. What is the ratio of the radius of one sphere and that of the given solid?

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

Answer 2

Answer:

1:4 is the correct answer

The only persons can understand who given BNAT test.