Question

A cone of height 20 cm and radius of base 5 cm is made up of modelling clay .A child reshapes it in the form of a sphere .find the radius of the sphere .step by step ​

Answer 1

Answer:

see the step by step explaination

Step-by-step explanation:

Radius of the cone = r = 5 cm and

Height of the cone = h = 20 cm

Let the radius of the sphere = R

As epr given statement,

Volume of sphere = volume of cone

3

4

πR

3

=

3

1

πr

2

h

4R

3

=5×5×20

R = 5 cm

Diameter of the sphere =2R=2×5=10cm

Answer 2

Step-by-step explanation:

$\blue{ \underline{ \bold{ QUESTION : - }}}$

A cone of height 20 cm and radius of base 5 cm is made up of modelling clay .A child reshapes it in the form of a sphere .find the radius of the sphere.

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$\boxed{ \huge{ \bold{ Given}}}$

• A cone height =20 cm

• Base = 5 cm

$\boxed{ \huge{\bold{ to \: find}}}$

• Radius = ?

$\star{ \pink {\underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

${ \overbrace{ \underline{ \red{LeT,}}}}$

• Redius of the sphere = R

${ \boxed{\underbrace{ \huge { \purple{ \sf{ \bold{volume of sphere= volume \: of \: cone}}}}}}}$

$\implies{ \bold{ \green{ \frac{4}{3} \pi {R}^{3} = \frac{1}{3} \pi {r}^{2}h}}}$

$\implies{ 4\pi {R}^{3} = 5 \times 5 \times 20}$

$\boxed{ \underline{ \gray{ R \: = 5cm}}}$

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$\bold{ \star{ \underline{ \underline{more \: you \: know : - }}}}$

• $\bold{ \sf{ volume \: of \: cone = \frac{1}{3} \pi {r}^{2} h}}$

• $\bold {\sf{ slant \: height = \sqrt{ {r}^{2} + {h}^{2} }}}$

• Volume of Sphere = 4/3 π r³

• Surface area = 4πr²

• Diameter = 2r

• Radius = d/2

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