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Diameter of the base of a cone is \\( 10.5 \\mathrm{~cm} \\) and its slant height is \\( 10 \\mathrm{~cm} \\). Find its curved surface area.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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Given:Diameter of the base of a cone is \( 10.5 \mathrm{~cm} \) and its slant height is \( 10 \mathrm{~cm} \).To do:We have to find its curved surface area.Solution:We have the diameter of the base of the cone $=10.5\ m$We know that, Radius$=\frac{diameter}{2}$This implies, The radius of the base of ... Read More

Find the total surface area of a cone, if its slant height is \\( 21 \\mathrm{~m} \\) and diameter of its base is \\( 24 \\mathrm{~m} \\).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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 Given:The slant height of a cone is $21\ m$ and the diameter of its base is $24\ m$.To do:We have to find the total surface area of the cone.Solution:Slant height of the cone $(l) = 21\ m$Diameter of the base $= 24\ m$This implies, Radius $(r) = \frac{24}{2}$$=12\ m$Therefore, The total ... Read More

Curved surface area of a cone is \\( 308 \\mathrm{~cm}^{2} \\) and its slant height is \\( 14 \\mathrm{~cm} \\). Find
(i) radius of the base and (ii) total surface area of the cone.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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  Given:The curved surface area of a cone is $308\ cm^2$ and its slant height is $14\ cm$.To do:We have to find the radius of the base and the total surface area of the cone.Solution:The curved surface area of the cone $= 308\ cm^2$Slant height of the cone $(l) = 14\ ... Read More

A conical tent is \\( 10 \\mathrm{~m} \\) high and the radius of its base is \\( 24 \\mathrm{~m} \\). Find
(i) slant height of the tent.
(ii) cost of the canvas required to make the tent, if the cost of \\( 1 \\mathrm{~m}^{2} \\) canvas is \\( Rs.\\ 70 \\).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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 Given:A conical tent is $10\ m$ high and the radius of its base is $24\ m$. The cost of $1\ m^2$ canvas is $Rs.\ 70$.To do:We have to find the slant height of the tent and the cost of the canvas required to make the tent.Solution:Height of the conical tent $h= ... Read More

What length of tarpaulin \\( 3 \\mathrm{~m} \\) wide will be required to make conical tent of height \\( 8 \\mathrm{~m} \\) and base radius \\( 6 \\mathrm{~m} \\) ? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately \\( 20 \\mathrm{~cm} \\) (Use \\( \\pi=3.14 \\) ).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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 Given:The height of the conical tent is $8\ m$ and the radius of the base is $6\ m$.The width of the tarpaulin used is $3\ m$.To do:We have to find the length of the tarpaulin required.Solution:Height of the conical tent $(h) = 8\ m$Radius of the base $(r) = 6\ ... Read More

The slant height and base diameter of a conical tomb are \\( 25 \\mathrm{~m} \\) and \\( 14 \\mathrm{~m} \\) respectively. Find the cost of white-washing its curved surface at the rate of Rs. 210 per \\( 100 \\mathrm{~m}^{2} \\).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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 Given:The slant height and base diameter of a conical tomb are $25\ m$ and $14\ m$ respectively. To do:We have to find the cost of white-washing its curved surface at the rate of $Rs.\ 210$ per $100\ m^2$.Solution:Slant height of the cone $(l) = 25\ m$Diameter of the base $=14\ m$This ... Read More

A joker's cap is in the form of a right circular cone of base radius \\( 7 \\mathrm{~cm} \\) and height \\( 24 \\mathrm{~cm} \\). Find the area of the sheet required to make 10 such caps.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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 Given:A joker’s cap is in the form of a right circular cone of base radius $7\ cm$ and height $24\ cm$. To do:We have to find the area of the sheet required to make 10 such caps.Solution:The radius of the base of the conical cap $(r) = 7\ cm$Height of the ... Read More

In figure below, $A,B$ and $C$ are three points on a circle with centre $O$ such that $\\angle BOC = 30^o$ and $\\angle AOB = 60^o$. If $D$ is a point on the circle other than the arc $ABC$, find $\\angle ADC$.
"

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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Given:$A, B$ and $C$ are three points on a circle with centre $O$ such that $\angle BOC = 30^o$ and $\angle AOB = 60^o$. $D$ is a point on the circle other than the arc $ABC$.To do:We have to find $\angle ADC$.Solution:$\angle AOC = \angle AOB+\angle BOC$$\angle AOC = 60^o+30^o$$\angle ... Read More

In figure below, $\\angle PQR = 100^o$, where $P, Q$ and $R$ are points on a circle with centre $O$. Find $\\angle OPR$.
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Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:46:36

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Given:$\angle PQR = 100^o$, where $P, Q$ and $R$ are points on a circle with centre $O$.To do:We have to find $\angle OPR$.Solution:We know that, The angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the circle.This ... Read More

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