the volume of a solid hemisphere is 1152piecm.cube. find its curved surface area
Answers
Answer :
- Curved surface area of solid hemisphere is 288cm²
Given :
- The volume of solid hemisphere is 1152π
To find :
- Curved surface area
Solution:
Given that, the volume of solid hemisphere and we have to find radius and also curved surface area
- volume of solid hemisphere is 1152π³
As we know that :
- Volume of solid hemisphere = 2/3 πr³
Then,
⟾ Volume of solid hemisphere = 2/3 πr³
⟾ 1152π = 2/3 πr³
Remove π
⟾ 1152 × 3 / 2 = r³
⟾ 576 × 3 = r³
⟾ 1728 = r³
⟾ r³= 1728
⟾ r = ²√12 × 12 × 12
⟾ r = 12 cm
Hence radius is 12 cm
Now we have to find curved surface area
As we know that :
- Curved surface area of solid hemisphere = 2πr²
⟾ CSA = 2πr²
⟾ CSA = 2 × 22/7 × 12 × 12
⟾ CSA = 2 × 12 × 12π
⟾ CSA = 288 cm²
Hence, curved surface area of solid hemisphere is 288cm²
Answer:
Answer :
Curved surface area of solid hemisphere is 288cm²
Given :
The volume of solid hemisphere is 1152π
To find :
Curved surface area
Solution:
Given that, the volume of solid hemisphere and we have to find radius and also curved surface area
volume of solid hemisphere is 1152π³
As we know that :
Volume of solid hemisphere = 2/3 πr³
Then,
⟾ Volume of solid hemisphere = 2/3 πr³
⟾ 1152π = 2/3 πr³
Remove π
⟾ 1152 × 3 / 2 = r³
⟾ 576 × 3 = r³
⟾ 1728 = r³
⟾ r³= 1728
⟾ r = ²√12 × 12 × 12
⟾ r = 12 cm
Hence radius is 12 cm
Now we have to find curved surface area
As we know that :
Curved surface area of solid hemisphere = 2πr²
⟾ CSA = 2πr²
⟾ CSA = 2 × 22/7 × 12 × 12
⟾ CSA = 2 × 12 × 12π
⟾ CSA = 288 cm²
Hence, curved surface area of solid hemisphere is 288cm²