Question

if the circumference of a conical wooden piece is 484 cm then find its volume when its height is 105​

Answer 1

Answer:

Circumference of the base of the cone = 484 cm Height = 105 cm ∴ 2πr = 484

Answer 2

Given :-

• Circumference of conical piece = 484cm.

• Height of the conical piece = 105cm.

To Find :-

• Find the volume of the conical

Solution :-

Let the radius of the conical piece = r .

$\large{\underline{{\boxed{\textbf{formula\:used}}}}}$

$\implies\large\underline\bold\orange{2πr}$

$\implies 484 = 2 × 22/7 × r$

$\implies 484 = 44 × r$

$\implies 484/7 = 44 × r$

$\implies 3388/44 = r$

$\implies 77 = r$

$\implies \large\underline\bold\red{r\:=\:77cm}$

The volume of Conical Piece :-

$\small\underline\bold\blue{Formula\:of\:Volume}$

$\implies 1/3 πr²h$

$\implies 1/3 × 22/7 × (77)² × 105$

$\implies 22/7 × 5929 × 35$

$\implies 22 × 847 × 35$

$\implies 652190cm$

Hence, the volume of conical piece is 652190cm³

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Hope It'll Help Uh :)