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State whether the following statement is true or false:
The area of the base of a cylinder is $154 \, cm^{2}$ and its height is $20 \, cm$, then its volume is $3080 \, cm^{3}$.

$A$ conical tent with radius $7\, m$ and slant height $12\, m$ is to be made. How many metres of $2\, m$ wide tarpaulin will be required? If the price of tarpaulin is ₹ $48$ per meter,find the cost of the tarpaulin.

The diameter of a roller is $84\, cm$ and its length is $120\, cm$. It takes $500$ complete revolutions to move once over to level a playground. Find the area of the playground in $m^2$. $\left[\text{Assume } \pi = \frac{22}{7}\right]$ (in $, m^2$)

Write True or False and justify your answer in each of the following: If a sphere is inscribed in a cube,then the ratio of the volume of the cube to the volume of the sphere will be $6: \pi$.

Find the total surface area of a hemisphere of radius $42 \, cm$. (in $cm^2$)

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