Question

The length of external diameter of the face of a hemispherical bowl made of
silver sheet is 8 cm and the length of internal diameter of it is 4 cm. By melting the bowl a solid
cone is made whose diameter is 8 cm in length. Let us calculate the height of the cone. ​

Answer 1

Answer:

Look at this attachment

Answer 2

Answer:

Therefore, height of cone is 14 cm.

Step-by-step explanation:

Let r be radius of inner circle and R be the radius of outer circle.

Given, r=4 cm and R=8 cm

Diameter of cone =8 cm ⇒x=  4cm

Here $\frac{4}{3 } \pi (R^{3}-r^{3} )$=$\frac{1}{3}\pi x^{2}h$

⇒r=$\frac{4}{2}$=2cm ,   R=$\frac{8}{2}$=4cm

⇒x=$\frac{8}{2}$=4cm ,  h=?

⇒$4(4^{3}-2^{3} )=4^{2}*h$

⇒4 ( 64 - 8 ) = 16 * h

⇒$h=\frac{56*4}{16}$

⇒h=14

Therefore, height of cone is 14 cm.