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Assertion (A) the Outer Surface of a Hemisphere of Radius 7 Cm is to Be Painted. the Total Cost of Painting at Rs 5 per Cm2 is Rs 2300. - Mathematics

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प्रश्न

Assertion (A)
The outer surface of a hemisphere of radius 7 cm is to be painted. The total cost of painting at Rs 5 per cm2 is Rs 2300.

Reason (R)
The total surface area of a hemisphere is 3π r2.

  1. Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
  2. Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
  3. Assertion (A) is true and Reason (R) is false.
  4. Assertion (A) is false and Reason (R) is true.
योग

उत्तर

Assertion (A) is false and Reason (R) is true.
Assertion (A):
Total surface area of the hemisphere =3πr

`= (3xx22/7xx7xx7) "cm"^2`

= 462 cm2

Cost of painting at Rs 5 per cm= Rs (462 × 5)

= Rs 2310

Hence, Assertion (A) is false.

Reason (R): The given statement is true.

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अध्याय 19: Volume and Surface Area of Solids - Multiple Choice Questions [पृष्ठ ९२७]

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 78 | पृष्ठ ९२७

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