504 cones, each of diameter 3.5 cm and h...

504 cones, each of diameter 3.5 cm and height 3 cm, are melted and recast into a metallic sphere. Find the diameter of the sphere and hence find its surface area. [Use `pi = (22)/(7)]`

Text Solution

AI Generated Solution

To solve the problem step by step, we need to find the volume of the cones, equate it to the volume of the sphere, and then calculate the diameter of the sphere and its surface area. ### Step 1: Calculate the volume of one cone The formula for the volume of a cone is given by: \[ V_{\text{cone}} = \frac{1}{3} \pi r^2 h \] ...

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A solid metallic cone of radius 10 cm and height 2/5 m is meltedad recast into a sphere .Find the radius of the sphere .

`10sqrt(10)`cm

`(10)^(1/3) `cm

10 cm

8 cm

Thousand solid metallic spheres of diameter 6 cm each are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is

Three solid metallic spheres of diameters 6 cm, 8 cm and 10 cm are melted and recast into a new solid sphere. The diameter of the new sphere is :

4 cm

6 cm

8 cm

12 cm