A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm... | VSA 2m | Maths | SuperPadhai

Surface Areas And Volumes > Question

VSA2 marksYear: 2022MediumCBSE Class 10

surface-areas-volumessphereconemelting-recasting

Question

A solid metallic sphere of radius

10.5

cm is melted and recast into a number of smaller cones, each of radius

3.5

cm and height

3

cm. Find the number of cones so formed.

Solution

1

n \times \frac{1}{3} π (3.5)^{2} (3) = \frac{4}{3} π (10.5)^{3}

+1 mark

2

n = \frac{4 \times ( 10.5 ) ^{3}}{( 3.5 ) ^{2} \times 3} = 126

+1 mark

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