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Subjects
Mathematics State Board
Class 10
Mensuration
Conversion of Solids from One Shape to Another with No Change in Volume

16. Answer the following

Exercise condition:

5 m.

A blacksmith melts a spherical metal and recast into a cone of radius 15

$cm$ and height

$20$

$cm$ , then answer the following:

1) On conversion of a solid from one form to another, then which among the following remains unchanged?

Volume of the solid
Curved surface area of the solid
Total surface area of the solid

2) The slant height of the cone is given by the formula _______.

$l = \sqrt{r^2 - h^2}$
$l = \sqrt{h^2 + r^2}$
$l = \sqrt{r^2 \times h^2}$

3) The slant height of the cone is _______

$cm$ .

20
25
15

4) Volume of the cone is ________ cubic units.

$1492\pi$
$1500\pi$
$1496\pi$

5) The total surface area of the cone is ________

$cm^2$ .

$606\pi$
$604\pi$
$600\pi$

$1$

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