Question

A cylinder with base radius of 8 cm and height 2 cm is melted to form a cone of height 6cm the radius of the cone will be

Answer 1

Hiii!!!

Here's Ur answer...

Given :-

Radius of the cylinder = 8cm

Height of the cylinder = 2cm

Volume of the cylinder = πr²h

= 22/7 × 2 × 2 × 8

= 704/7cm³

Therefore volume of the cone after melting the cylinder = 704/7cm³

==> 1/3πr²h = 704/7cm³

==> 1/3 × 22/7 × r² × 6 = 704/7cm³

==> 22/7 × r² × 2 = 704/7cm³

==> 44/7 × r² = 704/7cm³

==> r² = 704/7 × 7/44

==> r² = 704/44

==> r² = 16

==> r = √16

==> r = 4cm

Hence, radius of the cone is 4cm.

Hope this helps..!!