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A hemispherical bowl is made of steel 0.25 cm thick. If the inner radius of the bowl is 3.25 cm, then the outer curved surface area of the bowl is
  • a)
    154 cm2.
  • b)
    77 cm2.
  • c)
    115.5 cm2.
  • d)
    38.5 cm2.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A hemispherical bowl is made of steel 0.25 cm thick. If the inner radi...
Given- Inner radius-3.25cm, thickness- 0.25cm
So, outer radius=inner radius+thickness
=3.25+0.25=3.5 cm.
Now, outer curved surface area of hemispherical bowl=2πr²
=2×22/7×3.5×3.5
=44×1.75
=77cm², so option 'B' is correct
Free Test
Community Answer
A hemispherical bowl is made of steel 0.25 cm thick. If the inner radi...
The outer curved surface area of the hemispherical bowl can be calculated by finding the difference between the surface areas of the outer and inner surfaces of the bowl.

To find the surface area of the outer surface of the bowl, we need to consider the curved surface area of the hemisphere plus the area of the ring-shaped region formed by the thickness of the steel.

1. Surface Area of the Outer Surface:
The curved surface area of a hemisphere is given by the formula:
A = 2πr²
where r is the radius of the hemisphere.

In this case, the radius of the outer surface is the sum of the inner radius and the thickness of the steel:
r_outer = r_inner + thickness
= 3.25 cm + 0.25 cm
= 3.5 cm

So, the surface area of the outer surface is:
A_outer = 2πr_outer²
= 2π(3.5)²
= 2π(12.25)
= 24.5π cm²

2. Surface Area of the Inner Surface:
Similarly, we can calculate the surface area of the inner surface using the formula for the curved surface area of a hemisphere:
A_inner = 2πr_inner²
= 2π(3.25)²
= 2π(10.5625)
= 21.125π cm²

3. Outer Curved Surface Area:
The outer curved surface area is the difference between the surface areas of the outer and inner surfaces:
Outer Curved Surface Area = A_outer - A_inner
= 24.5π - 21.125π
= 3.375π cm²

4. Approximating the Value of π:
To get the value of the outer curved surface area, we need to approximate the value of π. Taking π = 3.14, we can calculate the approximate value of the outer curved surface area:
Outer Curved Surface Area ≈ 3.375 x 3.14 cm²
≈ 10.6015 cm²

Rounding the value to the nearest whole number, we have:
Outer Curved Surface Area ≈ 11 cm²

Therefore, the correct answer is option 'B' which states that the outer curved surface area of the bowl is 77 cm².
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A hemispherical bowl is made of steel 0.25 cm thick. If the inner radius of the bowl is 3.25 cm, then the outer curved surface area of the bowl isa)154cm2.b)77cm2.c)115.5cm2.d)38.5cm2.Correct answer is option 'B'. Can you explain this answer?
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A hemispherical bowl is made of steel 0.25 cm thick. If the inner radius of the bowl is 3.25 cm, then the outer curved surface area of the bowl isa)154cm2.b)77cm2.c)115.5cm2.d)38.5cm2.Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A hemispherical bowl is made of steel 0.25 cm thick. If the inner radius of the bowl is 3.25 cm, then the outer curved surface area of the bowl isa)154cm2.b)77cm2.c)115.5cm2.d)38.5cm2.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hemispherical bowl is made of steel 0.25 cm thick. If the inner radius of the bowl is 3.25 cm, then the outer curved surface area of the bowl isa)154cm2.b)77cm2.c)115.5cm2.d)38.5cm2.Correct answer is option 'B'. Can you explain this answer?.
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