Question

A right angle triangle with sides 6cm,8cm and 10cm is revolved about the side 8cm. find the volume and csa of the solid so formed

Answer 1

Answer:

The solid formed is a Right circular Cone.

Curved Surface Area= 188.571 cm [approx]

Volume of the Cone =301.714 cubic cm [approx]

Step-by-step explanation:

The right triangle is revolved around the side 8 cm.

so,

The height of the solid formed will be 8 cm and the hypotenuse will act as slant height.

The solid formed will be a right circular cone.

so,

The dimensions of the cone are as follows:-

RADIUS = 6 cmHEIGHT = 8 cmSLANT HEIGHT = 10cm

Now

The curved surface area of the cone formed is :-

$\pi rl\\\\=\dfrac{22}{7}* 6 * 10\\\\=\dfrac{1320}{7} = 188.571 cm$

now,

The volume of the cone is equal to :-

$\dfrac{1}{3} \pi r^{2}h\\ \\\ =\dfrac{1}{3}*\dfrac{22}{7}*6^{2} *8\\\\=\dfrac{2112}{7}=301.714\: cm^{3}$