(C) Given that,Height $(h)$ of the cylindrical part $= 2.1 \, m$Diameter of the cylindrical part $= 4 \, m$Radius $(r)$ of the cylindrical part $= 2 \

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(C) Given that,Height $(h)$ of the cylindrical part $= 2.1 \, m$Diameter of the cylindrical part $= 4 \, m$Radius $(r)$ of the cylindrical part $= 2 \, m$Slant height $(l)$ of the conical part $= 2.8 \, m$Area of canvas used = $CSA$ of conical part + $CSA$ of cylindrical part$= \pi rl + 2\pi rh$$= \pi r(l + 2h)$$= \frac{22}{7} \times 2 \times (2.8 + 2 \times 2.1)$$= \frac{44}{7} \times (2.8 + 4.2)$$= \frac{44}{7} \times 7 = 44 \, m^2$Cost of $1 \, m^2$ canvas $= Rs. \, 500$Cost of $44 \, m^2$ canvas $= 44 \times 500 = Rs. \, 22000$Therefore,the cost of the canvas for making the tent is $Rs. \, 22000$.

Class 10 Mathematics Surface Areas and Volumes Textbook - Surface Areas and Volumes

Medium

$A$ tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are $2.1 \, m$ and $4 \, m$ respectively,and the slant height of the top is $2.8 \, m$,find the area of the canvas used for making the tent. Also,find the cost of the canvas of the tent at the rate of $Rs. \, 500$ per $m^2$. (in $Rs.$) [Use $\pi = \frac{22}{7}$] (Note that the base of the tent will not be covered with canvas.)

A
$22500$
B
$23000$
C
$22000$
D
$21000$

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Surface Areas and Volumes

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Textbook - Surface Areas and Volumes

$A$ gulab jamun contains sugar syrup up to about $30\%$ of its volume. Find approximately how much syrup would be found in $45$ gulab jamuns,each shaped like a cylinder with two hemispherical ends with length $5\,cm$ and diameter $2.8\,cm$ (see figure) (in $cm^3$) [take $\pi=\frac{22}{7}$].

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$A$ container shaped like a right circular cylinder having diameter $12 \, cm$ and height $15 \, cm$ is full of ice cream. The ice cream is to be filled into cones of height $12 \, cm$ and diameter $6 \, cm$,having a hemispherical shape on the top. Find the number of such cones which can be filled with ice cream. [Take $\pi = \frac{22}{7}$]

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$A$ gulab jamun contains sugar syrup up to about $30\%$ of its volume. Find approximately how much syrup would be found in $45$ gulab jamuns,each shaped like a cylinder with two hemispherical ends with length $5\,cm$ and diameter $2.8\,cm$ (see figure) (in $cm^3$) [take $\pi=\frac{22}{7}$].

$A$ solid is in the shape of a cone standing on a hemisphere with both their radii being equal to $1\, cm$ and the height of the cone is equal to its radius. Find the volume of the solid in terms of $\pi$.

$A$ hemispherical tank full of water is emptied by a pipe at the rate of $3 \frac{4}{7}$ $litres$ per $second.$ How much time will it take to empty half the tank,if it is $3 \,m$ in $diameter?$ (in $minutes$) (Take $\pi=\frac{22}{7}$)

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