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?

Both A and R are true and R is the correct explanation of A.

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Both A and R are true and R is not the correct explanation of A.

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A is true and R is false.

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A is false and R is true.

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Solution

The correct option is B Both A and R are true and R is not the correct explanation of A.
CSA of cone $= π r l \to$ Here slant height necessary
CSA of cylinder $= 2 π r h \to$ Here height is necessary

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Similar questions

Q. Assertion (A): Curved surface area of a right circular cone is

π \times

radius of base

\times

slant height.

Reason (R): Total surface area of a right circular cylinder is

π \times (r a d i u s o f b a s e)^{2}

π \times

radius of base

\times

slant height.

Which of the following is correct?

The curved surface area of right circular cone whose slant height is 10 cm and base radius is 7 cm

The ratio of base radius to slant height of a right circular cone is 3:2. Calculate the ratio of total surface area of cone to curved surface area of the cone.(Take $π = \frac{22}{7}$ ). [3 MARKS]

Q. The volume of a right circular cone is

320 π c m^{3}

and the radius of its base is

8 c m

. Find its slant height, curved surface area, and total surface area. Give your answers in terms of

π

Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height.

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

The correct option is B Both A and R are true and R is not the correct explanation of A.CSA of cone =πrl→ Here slant height necessary CSA of cylinder =2πrh→ Here height is necessary

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?

The correct option is B Both A and R are true and R is not the correct explanation of A.
CSA of cone $= π r l \to$ Here slant height necessary
CSA of cylinder $= 2 π r h \to$ Here height is necessary