Question

From a solid circular cylinder with height 10cm and radius of the base 6cm a right circular cone of the same height and same base is removed . find the volume of the remaining solid . also calculate the whole surface area

Answer 1

Answer:

Formulas are very important and substitute correctly.

Answer 2

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➠ Given :

Height of cone and cylinder = 10 cm

Radius of come and cylinder = 6 cm.

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➠ To Find :

We have to find the volume of the solid after removing the cone from the cylinder.

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➠ Solution :

We know that,

$\Large{\boxed{\mathbf{\begin{aligned}\quad\star\; \; Volume\, of \,cylinder &= \pi r^2 h\\\\\quad \star\, \,Volume \, of \,cone &= \dfrac{1}{3} \pi r^2 h \quad\end{aligned}}}}$

We know the formula to find the volume remaining solid

$\implies {\sf{\dfrac{1}{3} \times \cancel{\dfrac{22}{7}} \times 6^2 \times 10 = \cancel{\dfrac{22}{7}} \times (6)^2 \times 10}} \\ \\ \implies {\sf{\dfrac{1}{3} \times 36 \times 10 = 36 \times 10}} \\ \\ \sf{\implies \dfrac{360}{3} = 360} \\ \\ \sf{\implies Volume = 360 - 120 } \\ \\ \sf{\implies Volume = 240 \: cm^3}$