As part of a school activity, Sushil made some geometrical shapes using clay. He makes a cone of height 42 cm and base radius 10 cm and then reshapes it into a sphere. Find the radius of the sphere thus formed.

Open in App

Solution

𝑳𝒆𝒕 𝒓𝒂𝒅𝒊𝒖𝒔 𝒐𝒇 𝒕𝒉𝒆 𝒏𝒆𝒘 𝒔𝒑𝒉𝒆𝒓𝒆 𝒃𝒆 𝑹.

𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑛𝑒𝑤 𝑠𝑝ℎ𝑒𝑟𝑒
$= (4 / 3) π R^{3}$

𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑜𝑙𝑑 𝑐𝑜𝑛𝑒 = 𝑉𝑜𝑙𝑢𝑚𝑒𝑠 𝑜𝑓 𝑛𝑒𝑤 𝑠𝑝ℎ𝑒𝑟𝑒

⇒ $(1 / 3) π r^{2} h = (4 / 3) π R^{3}$

⇒ $10^{2} \times 42 = 4 \times R^{3}$

⇒ $R^{3} = 1050$

⇒ $R = 10.16 c m$

Suggest Corrections

Similar questions

Q. Using clay, a student made a right circular cone of height

48

cm and base radius

12

cm. Another student reshapes it in the form of a sphere. Find the radius of the sphere.

Q. A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere

Q. A child reshapes a cone made up of China clay of height

24 c m

and radius of base

6 c m

into a sphere. The radius of the sphere is:

Q. using a clay student made a right circular cone of 48 cm and baseradius 12 cm. another student reshapes in the form of a sphere . find the radius of the sphere

a cone of height 20cm and radius of base 5 cm is made up of modelling clay . a child reshapes it in a form of a sphers . find the diameter of a sphere

Join BYJU'S Learning Program

As part of a school activity, Sushil made some geometrical shapes using clay. He makes a cone of height 42 cm and base radius 10 cm and then reshapes it into a sphere. Find the radius of the sphere thus formed.​

As part of a school activity, Sushil made some geometrical shapes using clay. He makes a cone of height 42 cm and base radius 10 cm and then reshapes it into a sphere. Find the radius of the sphere thus formed.