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The total surface area of a hemispherical bowl of diameter 28 cm is
- a)1848 cm2
- b)1800 cm2
- c)1600 cm2
- d)1648 cm2
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The total surface area of a hemispherical bowl of diameter 28 cm isa)1...
Correct, option 'A' is the correct answer.
The total surface area of a hemispherical bowl can be calculated by using the formula 4πr^2, where r is the radius of the bowl.
Given the diameter of the bowl is 28 cm, the radius of the bowl is 14cm.
So, the total surface area of the hemispherical bowl of diameter 28 cm is 4π(14)^2 = 4π*196 =784π = 1848 cm^2 (approximately)
Alternatively, we can also use the formula 2πr^2 + 2πrr (r being the radius of the bowl) to calculate the total surface area of the hemispherical bowl.
In this case, 2π(14)^2 + 2π(14) 14 = 2π196 + 2π196 = 392π = 1848 cm^2 (approximately)
Hence the answer is A. 1848 cm2
Most Upvoted Answer
The total surface area of a hemispherical bowl of diameter 28 cm isa)1...
Solution:
Given:
Diameter of the hemispherical bowl = 28 cm
We need to find the total surface area of the hemispherical bowl.
Step 1:
Find the radius of the hemispherical bowl.
The radius is half of the diameter, so the radius (r) = 28 cm ÷ 2 = 14 cm.
Step 2:
Find the curved surface area of the hemisphere.
The curved surface area of a hemisphere is given by the formula:
CSA = 2πr²
Substituting the value of r, we get:
CSA = 2 × π × 14²
CSA = 2 × 22/7 × 14 × 14
CSA = 88 × 14
CSA = 1232 cm²
Step 3:
Find the base area of the hemisphere.
The base area of a hemisphere is given by the formula:
Base area = πr²
Substituting the value of r, we get:
Base area = 22/7 × 14 × 14
Base area = 44 × 14
Base area = 616 cm²
Step 4:
Find the total surface area of the hemisphere.
The total surface area of a hemisphere is the sum of the curved surface area and the base area.
Total surface area = Curved surface area + Base area
Total surface area = 1232 cm² + 616 cm²
Total surface area = 1848 cm²
Therefore, the correct answer is option (a) 1848 cm².
Given:
Diameter of the hemispherical bowl = 28 cm
We need to find the total surface area of the hemispherical bowl.
Step 1:
Find the radius of the hemispherical bowl.
The radius is half of the diameter, so the radius (r) = 28 cm ÷ 2 = 14 cm.
Step 2:
Find the curved surface area of the hemisphere.
The curved surface area of a hemisphere is given by the formula:
CSA = 2πr²
Substituting the value of r, we get:
CSA = 2 × π × 14²
CSA = 2 × 22/7 × 14 × 14
CSA = 88 × 14
CSA = 1232 cm²
Step 3:
Find the base area of the hemisphere.
The base area of a hemisphere is given by the formula:
Base area = πr²
Substituting the value of r, we get:
Base area = 22/7 × 14 × 14
Base area = 44 × 14
Base area = 616 cm²
Step 4:
Find the total surface area of the hemisphere.
The total surface area of a hemisphere is the sum of the curved surface area and the base area.
Total surface area = Curved surface area + Base area
Total surface area = 1232 cm² + 616 cm²
Total surface area = 1848 cm²
Therefore, the correct answer is option (a) 1848 cm².
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The total surface area of a hemispherical bowl of diameter 28 cm isa)1848 cm2b)1800 cm2c)1600 cm2d)1648 cm2Correct answer is option 'A'. Can you explain this answer?
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