Question

find diameter and volume of cylinder whose radius is equals to 5 cm and height equals to 10 cm​

Answer 1

AnswEr :

• The diameter of a cylinder is 10 cm and the volume of a cylinder is 785.4 cm².

Explanation :

We are given with the radius of a cylinder as well as height of a cylinder, that is,

• Radius of cylinder, r = 5 cm.

• Height of cylinder, h = 10 cm.

We have to find out the diameter and Volume of a cylinder.

⠀__________________________

First we will find the diameter of a cylinder$.$

We know that, if we are given with the radius of a cylinder we have the required formula, that is,

⠀

→ Diameter = 2r

⠀

Substituting the given values in the formula,

⇒ Diameter = 2 × 5

⇒ Diameter = 10

Now,

As we are given with the radius of a cylinder and height of a cylinder we know the required formula, that is,

⠀

⠀

→ Volume of cylinder = πr²h.

⠀

⠀

Substituting the given values in the formula,

⇒ Volume of cylinder = 22/7 × (5)² × 10

⇒ Volume of cylinder = 22/7 × 25 × 10

⇒ Volume of cylinder = 22 × 3.57 × 10

⇒ Volume of cylinder = 78.54 × 10

⇒ Volume of cylinder = 785.4

Hence, the diameter of a cylinder is 10 cm and the volume of a cylinder is 785.4 cm².

Answer 2

$\large\underline{ \underline{ \sf{ \maltese \: {Given:-}}}}$

• Radius of cylinder (r) = 5 cm
• Height of cylinder (h) = 10 cm

$\large\underline{ \underline{ \sf{ \maltese \: {To \: find\:-}}}}$

• Diameter and volume of the cylinder

$\large\underline{ \underline{ \sf{ \maltese \: {Solution:-}}}}$

~ Diameter of a cylinder

We know that:-

$\qquad \bull \: \bf{Diameter = 2r}$

$\qquad \quad {: } \longrightarrow \sf{Diameter = \bigg(2 \times 5 \bigg) \: {cm} }$

$\qquad \quad {: } \longrightarrow \underline{ \boxed{\sf{Diameter = 10\: {cm}} }}$

~ Volume of cylinder

$\qquad\bull \: \bf{πr²h}$

$\qquad \quad {: } \longrightarrow \sf{ Volume \: of \: cylinder = \dfrac{22}{7} × {5}^{2} × 10}$

$\qquad \quad {: } \longrightarrow \sf{ Volume \: of \: cylinder = \dfrac{22}{7} × 25 × 10}$

$\qquad \quad {: } \longrightarrow \sf{ Volume \: of \: cylinder = 22 × 3.57 × 10}$

$\qquad \quad {: } \longrightarrow \sf{ Volume \: of \: cylinder = 78.54 × 10}$

$\qquad \quad {: } \longrightarrow \underline{ \boxed{\sf{ Volume \: of \: cylinder = 785.4 }} }$

$\qquad\blacksquare \: \sf{Diameter \: of \: the \: cylinder= \underline{\underline{10 \: cm}}}$

$\qquad\blacksquare \: \sf{Volume \: of \: the \: cylinder= \underline{\underline{785.4 \: cm}}}$

$\large\underline{ \underline{ \sf{ \maltese \: {Answer:-}}}}$

• Diameter of the cylinder is 10 cm
• Volume of the cylinder is 785.4 cm