Question

Find the volume of the recycled material used in making the solid as shown in figure . it is given that diameter of cylinder is 20cm and diameter of each of two equal conical cavity is 10cm
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Answer 1

Answer:

Volume of the object = 6914.28 cu cm

Answer 2

Volume of recycled material used in making the solid=$6914.29 cm^2$

Step-by-step explanation:

Diameter of cylinder=d=20 cm

Radius of cylinder=$r=\frac{d}{2}=\frac{20}{2}=10 cm$

Diameter of conical cavity=$d'=10 cm$

Height of cylinder=h=24 cm

Height of each conical cavity=h'=12 cm

Radius of conical cavity=$r'=\frac{10}{2}=5 cm$

Volume of cylinder=$\pi r^2 h$

Height of cylinder=h

Radius of cylinder=r

$\pi=\frac{22}{7}$

Volume of cone=$\frac{1}{3}\pi r^2 h$

Where h= Height of cone

r=Radius of cone

Volume of recycled material used in making the solid=Volume of cylinder-Volume of two conical cavity

Volume of recycled material used in making the solid=$\frac{22}{7}\times (10)^2\times 24-2\times \frac{1}{3}\times \frac{22}{7}\times (5)^2\times 12$ square cm

Volume of recycled material used in making the solid=$6914.29 cm^2$

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