Question

the surface area of a sphere cylinder are of radius 5 cm in 5 times the area of the coverage surface of cone of radius 4 cm find the height of the cone​

Answer 1

Answer:

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Step-by-step explanation:

Surface area of sphere=4πr²

=4π×5×5=100πcm²

curved surface area of cone=πrlcm²

=4πlcm²

∴100π=5(4πl)

⇒l=5cm

Now l

=h

2

+r

2

⇒5

2

=h

2

+4

2

⇒h

2

=9

⇒h=3

Volume of cone=

3

1

πr

2

h

=

3

1

×

7

22

×4×4×3

=

7

35.2

=50.29cm³.

Answer 2

Answer:

Surface area of sphere=4πr

2

=4π×5×5=100πcm

2

curved surface area of cone=πrlcm

2

=4πlcm

2

∴100π=5(4πl)

⇒l=5cm

Now l

2

=h

2

+r

2

⇒5

2

=h

2

+4

2

⇒h

2

=9

⇒h=3

Volume of cone=

3

1

πr

2

h

=

3

1

×

7

22

×4×4×3

=

7

35.2

=50.29cm

3

.