Question

The diameter of a solid sphere is 10 cm. Find the volume of the sphere.

Pls tell the explanation also
I am in class 7 so I want the explanation with my standard ​

Answer 1

Answer:

523.58 cm^3

Explanation:

Given that diameter is 10cm

Diameter is Twice of radius

Radius equals to 10/2 cm = 5cm

Volume of a solid sphere equals to 4/3 * πR^3

R=Radius=5cm

Hence Volume equals to 4/3*π*5*5*5

Answer is 523.58 cm^3

Answer 2

Given that diameter of sphere is 10cm.

We have to find volume of this sphere.

_______________________

In question, we have given diamond of any sphere i.e 10cm. In order to find volume of sphere, we required formula. So the formula to find volume of sphere is :

$\large{\tt{\frac{4}{3}\pi r^3}}$. In this formula, we have used π and r. Let's know about it : π is pronounced pie which value is used $\large{\bf{\frac{22}{7}}}$ in calculation if value of π isn't given. r is used for radius of sphere. Now, we have not mentioned radius of sphere in this question but we required radius to find volume. So, basically diameter is double of radius. In simple, radius of sphere(circle also) is half of diameter. So, If diameter of sphere is 10cm then radius will be 5cm

_______________________

To find volume,

Formula:

• $\large{\tt{\frac{4}{3}\pi r^3}}$

Putting value in formula:

Volume of sphere = $\large{\tt{\frac{4}{3}\pi r^3}}$

→ Volume of sphere = $\large{\tt{\frac{4}{3}\times \frac{22}{7}\times 5^3}}$

→ Volume of sphere = $\large{\tt{\frac{4}{3}\times \frac{22}{7}\times 125}}$

→ Volume of sphere = $\large{\tt{\frac{11000}{21}}}$

→ Volume of sphere = $\large{\tt{523\frac{17}{21}}}$

Therefore,

$\small{\boxed{\bf{\red{Volume~of~sphere~=~ {523\frac{17}{21}cm^3}}}}}$