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Surface Areas and Volumes
RD Sharma
CBSE
Grade 10
Question:
A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are $2.1\text{ m}$ and $4\text{ m}$ respectively, and the slant height of the top is $2.8\text{ m}$, find the area of the canvas used for making the tent.
Step-by-Step Solution
Key Concept: $r = 2\text{ m}, h = 2.1\text{ m}, l = 2.8\text{ m}$. Canvas Area $= 2 \pi r h + \pi r l = \pi r (2h + l) = \dfrac{22}{7} \times 2 \times (4.2 + 2.8) = \dfrac{44}{7} \times 7 = 44\text{ m}^2$.
$\text{Area} = 2 \pi r h + \pi r l = \pi r(2h + l)$. [1.0 Mark] $= \dfrac{22}{7} \times 2 \times (4.2 + 2.8) = \dfrac{44}{7} \times 7.0 = 44\text{ m}^2$. [2.0 Marks]
--- 🎯 Official CBSE Marking Scheme: Forming formula $\pi r(2h + l)$: 1.0 Mark Evaluating canvas area $= 44\text{ m}^2$: 2.0 Marks
Correct Answer:
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