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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

Options

  • 2.1 cm

  • 1.05 cm

  • 1.5 cm

  • 2 cm

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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

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APPEARS IN

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