Question

the perimeter of base of cone is 66cm and height is 6cm then find the volume of cone​

Answer 1

Question:-

the perimeter of base of cone is 66cm and height is 6cm then find the volume of cone?

Answer:-

$circumfrence \: of \: the \: base \: of \: cone \: = 2 \: \pi \: r \\ \longrightarrow \: 66cm = 2 \times \frac{22}{7} \times r \\ \longrightarrow66 = \frac{44}{7} \times r \\ \longrightarrow \: \frac{66 \times 7}{44} = r \\ \longrightarrow \: 10.5 = r$

Now, We Can Easily Find The Volume Of The Cone... Because We Got The Radius Of the base of the cone.

So,

$volume \: of \: cone \: \longrightarrow \pi \: r ^{2} \: \frac{h}{3} \\ \\ \longrightarrow \frac{22}{7} \times (10.5) ^{2} \times \frac{6}{3} \\ \\ \longrightarrow \frac{22}{7} \times 110.25 \times \frac{6}{3} \\ \\ \longrightarrow2079cm ^{3}$

Now, The Volume Of The Cone Is

$\longrightarrow2079cm ^{3}$