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A Hemispherical Bowl of Diameter 7.2 Cm is Filled Completely with Chocolate Sauce. this Sauce is Poured into an Inverted Cone of Radius 4.8 Cm. Find the Height of the Cone. - Mathematics

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Question

A hemispherical bowl of diameter 7.2 cm is filled completely with chocolate sauce. This sauce is poured into an inverted cone of radius 4.8 cm. Find the height of the cone.

Solution

A volume of hemispherical bowl = `2/3 pir^3 = 2/3 pi(3.6)^3 cm^3`

Volume of cone = `1/3 pir^2h = 1/3 pi xx (4.8)^2 xx h = cm^3`

But Volume of bowl = Volumw of cone

`= 2/3pi xx (3.6)^3 = 1/3 pi xx (4.8)^2 xx h`

`h = => (2 xx 3.6 xx 3.6 xx 3.6)/(4.8 xx 4.8) = 4.05 cm`

  Is there an error in this question or solution?

APPEARS IN

 ICSE Solution for Class 10 Mathematics (2020 (Latest))
Chapter 17: Mensuration
Exercise | Q: 24
 2009-2010 (March) (with solutions)
Question 11.2 | 3.00 marks
Solution A Hemispherical Bowl of Diameter 7.2 Cm is Filled Completely with Chocolate Sauce. this Sauce is Poured into an Inverted Cone of Radius 4.8 Cm. Find the Height of the Cone. Concept: Area and Volume of Solids - Cone.
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