Question

2. The volume of a hemisphere is 2425 cm°. Find its curved surface area.

3. If the total surface area of a solid hemisphere is 462 cm?, find its
volume.
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Answer 1

Answer:

2. CSA =810.22 sq.cm ; 3. volume = 134 cm^3

Step-by-step explanation:

2sol:- given, volume of hemisphere =2425 cm.

volume =2/3πr^3

2425 =2/3×32/7×r^3

2425×3×7/2×32=r^3

50925/64=r^3

795.7. =r^3

3√795.7=r

9.27=r

therefore,radius of hemisphere =9.27 cm.

then, CSA of hemisphere = 3πr^2

=3×22/7×9.27×9.27

=66/7×9.27×9.27

=5671.57/7

=810.22 cm^2

therefore , CSA of hemisphere =810.22 sq cm.

3sol:- given, TSA of hemisphere=462 sq cm

TSA =3πr^2

462 =3×22/7×r^2

462×7/3×22=r^2

154×7/22 =r^2

7×7 =r^2

7^2=r^2

7=r

therefore,radius of hemisphere =4 cm.

then ,volume =2/3 πr^3

=2/3×22/7×4×4×4

=44×64/21

=2816/21

=134 cm ^3

hence, volume of hemisphere =134 cm^3.

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