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A group of students of class \( \mathrm{X} \) went on a trip. The incharge of the trip planned to stay in tents. They used canvas to construct two tents, which is in the shape of a cylinder surmounted by a conical top. The height of the cylindrical part is \( 2.1 \mathrm{~m} \) and diameter of the cylindrical part is \( 4 \mathrm{~m} \) while the slant height of the top is \( 2.8 \mathrm{~m} \).
Find the volume of tent if the conical part of tent has height \( \mathrm{H} \) and radius \( \mathrm{R} \) and the height of cylinder is \( \mathrm{h} \) and base radius is same as that of cone.
a. \( \frac{1}{3} \pi \mathrm{R}^{2} \mathrm{~h}+\pi \mathrm{R}^{2} \mathrm{H} \)
b. \( \frac{1}{3} \pi \mathrm{R}^{2} \mathrm{H}+\pi \mathrm{R}^{2} \mathrm{~h} \)
c. \( \pi \mathrm{R}^{2} \mathrm{~h} \)
d. \( \pi \mathrm{rl}+\pi \mathrm{r}^{2} \mathrm{~h} \)
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