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Q.

Volume of the hemisphere of radius 3.5 cm is ____ ${cm}^{3}$ .

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Detailed Solution

Concept: The volume would be

89.834 {cm}^{3}

. To get the volume, insert the specified hemisphere's radius into the method for calculating hemisphere volume (

\frac{2}{3} π r^{3}

) .
A 3.5 cm radius hemisphere is what we have. The given hemisphere's volume must be determined.
Half of a sphere, a hemisphere is a three-dimensional object. A sphere is described as a collection of points in three dimensions where every point on the surface is equally spaced from the center.
We are aware that if the hemisphere's radius is r units, then its volume is given by (

\frac{2}{3} π r^{3}

) units. Radius is the measurement of a hemisphere's angular separation from its circumference, or outside ring. Always, the diameter is half the radius.
When r=3.5 is substituted in the calculation above, we get volume of hemisphere =(

\frac{2}{3} π ({3.5)}^{3}

) .
Using the aforementioned method, we can obtain the hemisphere's volume by substituting

π = \frac{22}{7}

= (\frac{2}{3} π ({3.5)}^{3}) . = \frac{2}{3} \times \frac{22}{7} \times (3.5) 3

= \frac{2}{3} \times \frac{22}{7} \times \frac{35}{10} \times \frac{35}{10} \times \frac{35}{10}

Canceling out like terms from numerator and denominator, we get volume of hemisphere

= \frac{22}{3} \times \frac{35}{10} \times \frac{35}{10} = 89.834 {cm}^{3}

Hence, the volume of the hemisphere of radius 3.53 cm is equal to

89.834 {cm}^{3} .

ExamType: CBSE

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Volume of the hemisphere of radius 3.5 cm is ____ cm3.