Question

2) The curved surface area of a hemisphere
is 9051/7 cm'. What is its volume ?
​

Answer 1

Answer:

Given ⇒

Curved Surface Area of the Hemisphere = 905 \frac{1}{7}905

7

1

= 6336/7 cm²

∵ C.S.A. of the Hemisphere = 2π r².

∴ 6336/7 = 2π r²

⇒ r² = 6336/7 × 7/22

⇒ r² = 288

⇒ r = √288

⇒ r = 16.97 cm.

Now,

∵ Volume of the Hemisphere = 4/3 π r²

= 4/3 × 22/7 × 288 × √288

= 20481.045 cm³.

Hence, the volume of the Hemisphere is 20481.045 cm³.

Hope it helps.

Step-by-step explanation:

Given ⇒

Curved Surface Area of the Hemisphere = 905 \frac{1}{7}905

7

1

= 6336/7 cm²

∵ C.S.A. of the Hemisphere = 2π r².

∴ 6336/7 = 2π r²

⇒ r² = 6336/7 × 7/22

⇒ r² = 288

⇒ r = √288

⇒ r = 16.97 cm.

Now,

∵ Volume of the Hemisphere = 4/3 π r²

= 4/3 × 22/7 × 288 × √288

= 20481.045 cm³.

Hence, the volume of the Hemisphere is 20481.045 cm³.

Hope it helps.