Question

2. A solid sphere of radius r is melted and caste into the shape of a solid cone height r, then the radius of
the base of the cone is.
a. 2r
b. 3r
C. 4r
d.r​

Answer 1

Answer:

Cloth left with Tina = 20m 5cm - 4m 50cm

= (19m + 1m + 5cm) - (4m + 50cm)

= (19m + 100cm + 5cm) - (4m + 50cm)

= 19m + 105cm - 4m - 50cm

= 15m + 55cm

= 15m 55cm

Answer 2

Answer:  

The Radius of the base of the cone is 2r.

Among the given options option (a) 2r is the correct answer.

Step-by-step explanation:  

Given :    

A solid sphere of radius =  r    

solid cone of height,h =  r  

Let the radius of the cone be ‘R’    

Volume of sphere =  Volume of cone

[Sphere is melted and recast in the shape of cone]  

4/3 πr³ =  ⅓ πR²h

4r³ = R²(r)  

4r³/r = R²  

4r² = R²  

R = √(4r²)  

R = 2r  

Radius of the cone = 2r  

Hence, the Radius of the cone is 2r.

Hope it helps!!!! :)