Assertion (A): Total surface area of a hemisphere of radius 2 cm is 4\pi{\mathrm{\ cm}}^2. Reason (R): Total surface area of a hemisphere of rad

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Q.
Assertion (A): Total surface area of a hemisphere of radius 2 cm is $4 π {cm}^{2}$

Reason (R): Total surface area of a hemisphere of radius $r = 3 π r^{2} .$

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true

Ans.
(4)

We have,
Radius (r) of the hemisphere = 2 cm

$∴ Total surface area of the hemisphere = 3 π r^{2} = 3 π (2)^{2} = 12 π {cm}^{2}$

$∴ Assertion (A) is false but Reason (R) is true .$

Solution

Q.
Assertion (A): Total surface area of a hemisphere of radius 2 cm is $4 π {cm}^{2}$

Reason (R): Total surface area of a hemisphere of radius $r = 3 π r^{2} .$

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true

Ans.
(4)

We have,
Radius (r) of the hemisphere = 2 cm

$∴ Total surface area of the hemisphere = 3 π r^{2} = 3 π (2)^{2} = 12 π {cm}^{2}$

$∴ Assertion (A) is false but Reason (R) is true .$

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Solution

Q. Assertion (A): Total surface area of a hemisphere of radius 2 cm is 4π cm2 Reason (R): Total surface area of a hemisphere of radius r=3πr2.

1 Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

2 Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true

Ans. (4) We have, Radius (r) of the hemisphere = 2 cm ∴Total surface area of the hemisphere=3πr2=3π(2)2=12π cm2 ∴Assertion (A) is false but Reason (R) is true.

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Q.
Assertion (A): Total surface area of a hemisphere of radius 2 cm is $4 π {cm}^{2}$

Reason (R): Total surface area of a hemisphere of radius $r = 3 π r^{2} .$

Ans.
(4)

We have,
Radius (r) of the hemisphere = 2 cm

$∴ Total surface area of the hemisphere = 3 π r^{2} = 3 π (2)^{2} = 12 π {cm}^{2}$

$∴ Assertion (A) is false but Reason (R) is true .$