Math, asked by kunalpatil90, 1 year ago

find the volume of a sphere was radius is 9 cm

Answers

Answered by MarilynEvans
43
 \textsf{\underline{Answer}}

 \textsf{\underline{Step-by-step explanation}}

Given that,

Radius of a sphere = 9cm

To find,

Volume of the sphere = ?

We know that,

Volume of a sphere =  \frac{4πr^3}{3}

Volume of a sphere =  \frac{4}{3}  \times 3.14 \times 9 \times 9 \times 9

Volume of a sphere =  \frac{4 \times 3.14 \times 729}{3}

Volume of a sphere =  4 \times 3.14 \times 243

Volume of a sphere =  972 \times 3.14

Volume of a sphere =  3,052. 08 cm^3
Answered by NainaRamroop
1

The volume of sphere with radius 9cm is 3053.63 cm³.

Given:

Radius (r) of the sphere = 9cm

To Find:

The volume (V) of the sphere

Solution:

A sphere is 3 dimensional geometrical analogue to a 2 dimensional shape called circle. It's surface area and volume is based on the radius of the circle; a cross-section of the sphere.

The volume of the sphere can be mathematically represented as:

⇒  V = \frac{4}{3} \pi r^{3}

  • To calculate the volume of sphere mentioned in the question, we know;

       r = 9 cm

  • Put the value of r in above formula to find the volume:

⇒  V = \frac{4}{3} \pi r^{3}

⇒  V = \frac{4}{3}\pi  (9)^{3}

⇒  V = \frac{4}{3} \pi (729)

⇒  V = 972\pi     (\pi = \frac{22}{7} )

⇒  V= 3053.62805 \ cm^{3}  ≈ 3053.63 \  cm^{3}

Hence, the volume of the sphere is 3053.63 cm³

#SPJ3

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