Question

Base diameter of cone is 16 cm and the hight is 24 mm the valume of cone is

Answer 1

Given :-

Diameter = 16 cm

Height = 24 mm

Firstly convert the height from mm to cm to make both the units same.

$\boxed{1 mm = 0.1 cm}$

Divide the height which is 24 mm by 0.1 cm.

▪$\dfrac{24}{10}$

▪$Height~=~2.4cm$

Now we will find radius.

▪$Radius = \dfrac{Diameter}{2}$

▪$\dfrac{16}{2}$

▪$Radius~=~8cm$

To find :-

Volume of cone = ?

Solution :-

Formula to find volume of cone = $\dfrac{1}{3}\pi~{r}^{2}h$

Put the given values :-

$\dfrac{1}{3} \times \dfrac{22}{7} \times 8 \times 8 \times \dfrac{24}{10}$

$=60.91~cm^3$

$\boxed{Volume~of~cone~is~60.91cm^3}$

Answer 2

$\pink{\large{\underline{\underline{ \rm{Given: }}}}}$

◕ Base diameter of cone = 16 cm

◕ Height of cone = 24 mm

$\pink{\large{\underline{\underline{ \rm{To \: Find }}}}}$

๑ The volume of cone.

$\pink{\large{\underline{\underline{ \rm{Solution: }}}}}$

Let's first convert 24 mm into cm because we know the base diameter of cone is in cm, therefore units must be same for finding volume of cone.

$\sf{1 \: mm = 0.1 \: cm}$

By using unitary method:

$\sf{(24 \times 0.1) \: cm}$

$\sf = 2.4 \: cm$

Therefore, height of cone = 2.4 cm

Now, let's find out radius:

$\sf{Radius = \dfrac{Diameter}{2} }$

◎ $\sf{Radius = \dfrac{16}{2}}$

◎ $\sf{Radius = 8 \: cm}$

Now, by using formula of volume of cone we will calculate volume of cone:

$\sf{Volume \: of \: cone = \dfrac{1}{3} \pi {r}^{2} h}$

Substitute the values in the formula, we have:

$\sf{ \dfrac{1}{3} \times \dfrac{22}{7} \times {8}^{2} \times 2.4}$

$\sf = \dfrac{1}{3} \times \dfrac{22}{7} \times 8 \times 8 \times 2.4$

$\sf= 160.91 \: {cm}^{3}$

∴ Volume of cone = $\sf{ \purple{ \underline{ \boxed{ \sf{160.91 \: {cm}^{3}}}}}}$

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