The curved surface of a circular cylinder of height $h$ and the curved surface area of the cone of slant height $2 h$ having the same circular base are in the ratio of

1 : 2

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2 : 1

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1 : 1

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1 : 3

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Solution

The correct option is B $1 : 1$
Given slant height of cone $= l = 2 h$ .
Curved surface area of the cylinder $= 2 π r h$
Curved surface area of the cone $= π r l = π r 2 h$
$∴$ their ratio $= \frac{2 π r h}{π r 2 h} = 1 : 1$

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Q. 1)The volume of a right circular cone is

110 m^{3}

and diameter is

2 \sqrt{15}

.calculate A)slate height
B)CSA
C)Height of cone
2)The ratio of base radius to slant height of a right circular cone is 3:2.Calculate the ratio of total surface of cylinder to curved surface of the cone .
3)A metal cylinder has height 7m.The inner radius of cylinder is 1m and outer radius is 1.5cm .calculate total surface area.

Assertion: Curved surface area of a right circular cone is $π \times$ radius of base $\times$ slant height.
Reason: Curved surface area of a right circular cylinder is $2 \times π \times$ radius of base $\times$ height.
Which of the following is correct?

Q. Ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Ratio between height and radius of cylinder is .

Q. Two circular cylinders of equal curved surface areas have their heights in the ratio

1 : 2

, then find the ratio of their radii.

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The curved surface of a circular cylinder of height h and the curved surface area of the cone of slant height 2h having the same circular base are in the ratio of

The correct option is B 1:1Given slant height of cone =l=2h.Curved surface area of the cylinder =2πrhCurved surface area of the cone =πrl=πr2h∴ their ratio =2πrhπr2h=1:1

The curved surface of a circular cylinder of height $h$ and the curved surface area of the cone of slant height $2 h$ having the same circular base are in the ratio of

The correct option is B $1 : 1$
Given slant height of cone $= l = 2 h$ .
Curved surface area of the cylinder $= 2 π r h$
Curved surface area of the cone $= π r l = π r 2 h$
$∴$ their ratio $= \frac{2 π r h}{π r 2 h} = 1 : 1$