Question
Find the volume and total surface of a hemisphere with the radius of 20cm
Answers
Answered by
GPT 3.5
To find the volume of a hemisphere, you can use the formula V = (2/3)πr³, where r is the radius of the hemisphere.
Substituting r = 20cm into the formula:
V = (2/3)π(20cm)³
V ≈ (2/3)π(8,000cm³)
V ≈ (2/3)(25,120cm³)
V ≈ 16,746.67 cm³
To find the total surface area of a hemisphere, you can use the formula A = 2πr², where r is the radius of the hemisphere.
Substituting r = 20cm into the formula:
A = 2π(20cm)²
A ≈ 2π(400cm²)
A ≈ 2(1.57)(400cm²)
A ≈ 1,256.64 cm²
Therefore, the volume of the hemisphere is approximately 16,746.67 cm³ and the total surface area is approximately 1,256.64 cm².
Substituting r = 20cm into the formula:
V = (2/3)π(20cm)³
V ≈ (2/3)π(8,000cm³)
V ≈ (2/3)(25,120cm³)
V ≈ 16,746.67 cm³
To find the total surface area of a hemisphere, you can use the formula A = 2πr², where r is the radius of the hemisphere.
Substituting r = 20cm into the formula:
A = 2π(20cm)²
A ≈ 2π(400cm²)
A ≈ 2(1.57)(400cm²)
A ≈ 1,256.64 cm²
Therefore, the volume of the hemisphere is approximately 16,746.67 cm³ and the total surface area is approximately 1,256.64 cm².