# A Metallic Cone of Base Radius 2.1 Cm and Height 8.4 Cm is Melted and Moulded into a Sphere. the Radius of the Sphere is - Mathematics

MCQ

A metallic cone of base radius 2.1 cm and height 8.4 cm is melted and moulded into a sphere. The radius of the sphere is

• 2.1 cm

• 1.05 cm

• 1.5 cm

• 2 cm

#### Solution

2 . 1 cm

Radius of cone = 2.1 cm

Height of cone = 8.4 cm

Volume of cone= 1/3 pi"r"^2"h" = 1/3pi (2.1)^2xx8.4

"Volume of the sphere" =  4/3 pi"r"^3

Therefore,

Volume of cone = Volume of sphere

=> 1/3pixx(2.1)^2xx8.4=4/3pi"r"^3

⇒ 4.41 × 8.4 = 4r

⇒ 37.044 = 4r

=> "r"^3 = 37.044/4

= r3 = (2.1)3

Is there an error in this question or solution?

#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 67 | Page 924