Question

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

Answer 1

HELLO DEAR FRIEND

Given that,

circumference of a conical wooden piece = 484cm

ATQ,

$\large{2 \: \pi \:r = 484}$

then,

$\large{2 \times \frac{ \large{22}}{ \large{7}} \times r =484 }$

$\large{r = \frac{ \large{1}}{ \large{2} } \times \frac{ \large{7}}{ \large{22} } \times 484 }$

So,

$\large{r = 77 \: cm}$

given height = 105 cm

volume of cone =

$\large{ \frac{ \large{1}}{ \large{3}} \times \pi {r}^{2} h}$

$\large{ \frac{ \large{1}}{ \large{3}} \times \frac{ \large{22}}{ \large{7}} \times 77\times77 \times 105 }$

So,

volume of cone =

$\huge \boxed{ \boxed{ {652190 \: cm}^{3} }}$

HOPE IT HELPS

Answer 2

Given:-

• Circumference of conical piece = 484cm.
• Height of the conical piece = 105cm.

To find:-

• Find the volume of the conical..?

Solutions:-

• Let the radius of the conical piece be 'r' cm.

We know that;

• Circumference = 2πr

=> 484 = 2 × 22/7 × r

=> 484 = 44 × r

=> 484/7 = 44 × r

=> 3388/44 = r

=> 77 = r

=> r = 77cm

The volume of comical prices

• Volume => 1/3 πr²h

=> 1/3 × 22/7 × (77)² × 105

=> 22/7 × 5929 × 35

=> 22 × 847 × 35

=> 652190cm

Hence, the volume of conical piece is 652190cm³

More Important:-

• Right circular cone:-
• h = height of cone
• r = Radius of cone
• s = slant height

• Volume = 1/3πr²h
• Lateral surface area = πr √r²+h²
• Total surface area = πr² + πr √r²+h²