Question

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

Answer 1

Given

• Circumference of the base of the cone= 484cm
• Height = 105 cm

To Find

• Volume Of Cone

Solution

$~~~~~~~~{\pink{\sf Circumference \: of \: Circle = 2πr}}$

${\implies\sf 484 = 2 \times \dfrac{22}{7} \times r}$

${\implies\sf r = \dfrac{484 \times 7}{ 2\times 22}}$

${\implies\sf r = \dfrac{3388}{ 44}}$

$~~~~~~~{\sf r = 77cm}$

$~~~~~~~~~{\pink{\sf \: volume \: of\: a\: conical\: wooden\: piece\: \: = \: \dfrac{1}{3} \pi {r}^{2} h}}$

${\implies\sf \: volume \: of\: a\: conical\: wooden\: piece\: \: = \: \dfrac{1}{3} \times \dfrac{22}{7} \times {77}^{2} \times 105}$

${\implies\sf \: volume \:of\: a\: conical\: wooden\: piece\: \: = \: \dfrac{1}{ \cancel{3}} \times \dfrac{22}{7} \times {5929}\times \cancel{105}^{35} }$

${\implies\sf \: volume \: of\: a\: conical\: wooden\: piece\: \: = \dfrac{22}{7} \times5929 \times35}$

${\implies\sf \: volume \: of\: a\: conical\: wooden\: piece\: \: = {22} \times847 \times35}$

$~~~~~~~~~~~~~\underline{\boxed{\sf \: volume \: of\: a\: conical\: wooden\: piece\: \: = 652190 \: cm^{3}} }$

Figure Of Cone

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