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
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Answered by
6
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.
Answered by
1
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
.
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