‹ PrevQuestion 85 / 85 · latest first
✓ Board-verified
Mathematics · 2022 · 4 marks
CBSE 2022 · Region 2 · Set 1 · Q14
Case Study - 2 A 'circus' is a company of performers who put on shows of acrobats, clowns etc. to entertain people started around 250 years back, in…
Case Study - $\displaystyle 2$ A 'circus' is a company of performers who put on shows of acrobats, clowns etc. to entertain people started around $\displaystyle 250$ years back, in open fields, now generally performed in tents. One such 'Circus Tent' is shown below.
The tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of cylindrical part are $\displaystyle 9$ m and $\displaystyle 30$ m respectively and height of conical part is $\displaystyle 8$ m with same diameter as that of the cylindrical part, then find
(1)
the area of the canvas used in making the tent;
(2)
the cost of the canvas bought for the tent at the rate ₹ $\displaystyle 200$ per sq m, if $\displaystyle 30$ sq m canvas was wasted during stitching.
Marking-scheme solution
1. 1.
\[l=\sqrt{8^{2}+15^{2}}=17 \mathrm{~m}
\]
\[\text { Area of canvas used }=\pi r l+2 \pi r h
\]
\[=\pi r(l+2 h)
\]
\[=\frac{22}{7} \times 15(17+18)
\]
\[=1650 \mathrm{~m}^{2}
\]
\[\text { Canvas used }=1650+30=1680 \mathrm{~m}^{2}
\]
\[\begin{aligned}
\therefore \text { cost of canvas used } & =200 \times 1680 \\
& =₹ 3,36,000
\end{aligned}
\]All Surface Areas and Volumes questions2022 question paperNCERT solutions: Surface Areas and VolumesPractice Surface Areas and Volumes →
More from Surface Areas and Volumes
- A camping tent in hemispherical shape of radius 1.4 m, has a door opening of area 0.50 m^2. Outer surface area of the tent is2026
- What is the total surface area of a solid hemisphere of diameter 'd'?2023
- On the day of her examination, Riya sharpened her pencil from both ends as shown below: The diameter of the cylindrical and conical part of the…2025
- The inner and outer radii of a hollow cylinder surmounted on a hollow hemisphere of same radii are 3 cm and 4 cm respectively. If height of the…2024
- The total surface area of a solid hemisphere of diameter ' 2 d ' is:2026
- From a solid cylinder of height 30 cm and radius 7 cm, a conical cavity of height 24 cm and same radius is hollowed out. Find the total surface area…2022
- A student was asked to make a model shaped like a cylinder with two cones attached to its ends by using a thin aluminium sheet. The diameter of the…2023
- 1000 small thermocol balls of radius 0•5 cm are kept in a spherical balloon of radius 20 cm. Find the volume of air in the balloon.2026
CBSE Class 10 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.