Question

The volume of a right circular cone is 9856cm. if the radius of the base is 14cm then find the height of the cone? ​

Answer 1

Given :

Volume of right circular cone = 9856 cm³

Radius of the base = 14 cm

To Find :

The height of the cone

Solution :

$\huge {\blue{ \mathfrak{volume \: of \: cone = \frac{1}{3}\pi {r}^{2} h}}}$

$\mathtt{9856 = \frac{1}{3} \times \frac{22}{7} \times {14}^{2} \times height}$

$\mathtt{9856 = \frac{22}{21} \times 196 \times h}$

$\mathtt{ \frac{ 9856 \times 21}{196 \times 22} = h}$

$\therefore { \boxed{\mathtt{ height \: of \: the \: cone = 48cm}}}$

Hence , Solved !!

Answer 2

Answer:

⇒ Height of cone = 48 cm

Step-by-step explanation:

Question:-

◗ The volume of a right circular cone is 9856 cm³.If the radius of the base is 14 cm.Then find the height of the cone.

Solution:-

Given:-

◗ Volume of cone = 9856 cm³

◗ Radius of cone = 14cm

To find:-

◗Height of cone = ?

As,volume of cone = 1/3 of volume of cylinder.

We know,

$\star\:\large{\boxed{\sf\blue{Volume \: of \: circular\: cone = \dfrac{1}{3}\pi r^2 h }}}$

• Putting values:-

$\dashrightarrow\sf 9856 = \dfrac{1}{3}\times 3.14 \times (14)^2 \times h \\\\\dashrightarrow\sf 9856 = \dfrac{1}{3}\times 3.14 \times 196 \times h \\\\\dashrightarrow\sf 9856 = \dfrac{615.44 \times h}{3}\\\\\dashrightarrow\sf 9856 = 205.147 \times h \\\\\dashrightarrow\sf h = \dfrac{9856}{205.147}\\\\\dashrightarrow\large{\underline{\boxed{\sf\blue{Height(h) = 48 \: cm }}}}$

$\therefore{\underline{\textsf{Height \: of \: cone = {\textbf{48 \,cm }}}}}$