Question

Q. A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 14/3 cm and height 3 cm. Find the number of cones so formed.

Answer 1

Given: Diameter of sphere = 21cm

Radius of sphere, R = 21/2=10.5 cm

Now,

Diameter of small cone= 7cm

Radius of small cones, r = 3.5 cm

Height of small cones, h = 3 cm

Let the numbers of small cones those can be formed by melting the metallic sphere = n.

∴ n × Volume of a small cone = Volume of the sphere.



Thus, numbers of small cones can be formed by melting the given metallic sphere is 126.

Answer 2

⛦Hᴇʀᴇ Is Yoᴜʀ Aɴsᴡᴇʀ⚑
▬▬▬▬▬▬▬▬▬▬▬▬☟

➧ Diameter➙ 21 cm

➧ So, Radius➙ 21 / 2 cm

➧ Radius of cone
➾ 7/2 cm

➧ Height of cone
➾ 3 cm

➧ Volume of sphere =
No. of cones x Volume of cone

4/3 x 22/7 x 21/2 x 21/2 x 21/2 =

No.of cones x 1/3 x 22/7 x 7/2 x 7/2 x 3

➧ That implies,

11 x 441 = no. of cones x 77/2

4851 = no. of cones x 77/2

4851 x 2/77 = no. of cones

➧ So, No. of cones
➾ 126 ...✔

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