Question : The total surface area of a solid hemisphere is 1039.5 cm². The volume (in cm³) of the hemisphere is: (Take $\pi=\frac{22}{7}$)
Option 1: 2425.5
Option 2: 2530.6
Option 3: 2525.6
Option 4: 2225.5

Question

Question : The total surface area of a solid hemisphere is 1039.5 cm². The volume (in cm³) of the hemisphere is: (Take $\pi=\frac{22}{7}$)

Option 1: 2425.5

Option 2: 2530.6

Option 3: 2525.6

Option 4: 2225.5

Team Careers360 · Accepted Answer

Correct Answer: 2425.5

Solution : Let $r$ be the radius of the hemisphere.
We know the total Surface Area of the solid hemisphere = $3\pi r^2$
$⇒3\pi r^2 = 1039.5$
$\Rightarrow 3 imes \frac{22}{7} imes r^2 = 1039.5$
$\Rightarrow r^2 = 2.25 imes 7 imes 7$
$\Rightarrow r = 10.5 \ ext{cm}$
The volume of the hemisphere
= $\frac{2}{3}\pi r^3$
= $\frac{2}{3} imes \frac{22}{7} imes 10.5 imes 10.5 imes 10.5$
= $ 2425.5 \ ext{cm}^3$
Hence the correct answer is 2425.5 cm³.

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Question : The total surface area of a solid hemisphere is 1039.5 cm2. The volume (in cm3) of the hemisphere is: (Take π=227)Option 1: 2425.5Option 2: 2530.6Option 3: 2525.6Option 4: 2225.5

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Question : The total surface area of a solid hemisphere is 1039.5 cm². The volume (in cm³) of the hemisphere is: (Take $π = \frac{22}{7}$ )
Option 1: 2425.5
Option 2: 2530.6
Option 3: 2525.6
Option 4: 2225.5