Math, asked by rajputaastha993, 4 months ago

गोले का घनफल पता करो जिस की सतह का क्षेत्रफल 154 सेंटीमीटर है​

Answers

Answered by shreya297249
0

Answer:

133................

Answered by bhagyashreechowdhury
0

Given:

Surface area is 154 cm cube​

To find:

The volume of the sphere

Solution:

Formulas to be used:

\boxed{\bold{Surface\:area\:of\:sphere = 4\pi r^2}}\\\\\boxed{\bold{Volume\:of\:sphere = \frac{4}{3} \pi r^3}}

Using the surface area formula, we can form an equation as:

4\pi r^2 = 154

\implies r^2 = 154 \times \frac{7}{22} \times \frac{1}{4}

\implies r^2 = 7 \times 7 \times \frac{1}{4}

\implies r^2 = 12.25

\implies r= \sqrt{12.25}

\implies \bold{r = 3.5 \:cm}

Now, using the formula of volume, we get

The volume of the given sphere is,

= \frac{4}{3}\times \frac{22}{7}  \times (3.5)^3

= \frac{4}{3}\times \frac{22}{7}  \times 42.875

= \bold{179.67\: cm^3 }

Thus, the volume of the sphere is → 179.67 cm³.

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