In the figure, $EF=20$ cm, $FG=24$ cm, $AE=\left( y+5 \right)$ cm. A hole of radius $x$ cm i

Question

In the figure, $EF=20$ cm, $FG=24$ cm, $AE=\left( y+5 \right)$ cm. A hole of radius $x$ cm is drilled through the cuboids. Taking $\pi =\frac{22}{7}$. Find the value of $x$ if the shaded area is $326$ cm${^2}$, the value of $y$ if the total surface area is $2588$ cm${^2}$, the volume of the solid.

Accepted Answer

(a) $x=7\text{ cm}$ (b) $y=9\dfrac{2}{3}\text{ cm}$ (c) $4781\dfrac{1}{3}\text{ cm}^3$

Cuboid with Cylindrical Hole – Surface Area and Volume

Cuboid with Cylindrical Hole – Surface Area and Volume

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