Question

Maths right circular cone has radius 4 cm and slant height 5cm then what is its volume

Answer 1

$\bold{CONE}$

Cone is a three dimensional figure with one vertices and with a circular flat base.

▶A right circular cone is that which the height from vertex is perpendicular to the circular base.

$\bold{VOLUME }$

Volume is the space or mass occupied by an particular figure.

$\bold{ACCORDING \: TO \: QUESTION }$

A right circular cone have,

$\mathsf{Slant \: Height = 5cm}$

$\mathsf{Radius \: r \: or \: base = 4cm}$

By Pythagoras theorem we know,

$\mathsf{Hypotenuse^{2} = Base^{2} + Height^{2}}$

$\mathsf{5^{2} = 4^{2} + Height^{2}}$

$\mathsf{25= 16 + Height^{2}}$

$\mathsf{25 - 16 = Height^{2}}$

$\mathsf{9 = Height^{2}}$

$\mathsf{\sqrt{9}= Height}$

$\mathsf{3cm = Height}$

$\large \boxed{\mathsf{VOLUME = \dfrac{1}{3} \times \pi \times r^{2} \times h}}$

$\mathsf{VOLUME = \dfrac{1}{3} \times 3.14 \times 4^{2} \times 3}$

$\mathsf{VOLUME = \dfrac{1}{3} \times 3.14 \times 16 \times 3}$

$\mathsf{VOLUME = \dfrac{1}{3} \times 163.68}$

$\large \boxed{\mathsf{VOLUME =54.56 cm^{2}}}$