Question : The slant height and the radius of a right circular cone are 11 cm and 6 cm, respectively. What is the curved surface area of the cone?
Option 1: $74 \pi\; {cm}^2$
Option 2: $60 \pi \;{cm}^2$
Option 3: $44 \pi\; {cm}^2$
Option 4: $66 \pi \;{cm}^2$
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Correct Answer: $66 \pi \;{cm}^2$
Solution : Given, The slant height of the cone = 11 cm The radius of the cone = 6 cm The curved surface area of a cone = πrl, where r is the radius and l is the slant height of the cone. = $π$ × 6 × 11 = 66$π$ cm2 Hence, the correct answer is $66 \pi \;{cm}^2$.
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Question : The curved surface area of a right circular cone is 44 cm². If the slant height of the cone is 7 cm, then find the radius of its base. [Use $\pi=\frac{22}{7}$ ]
Option 1: 2 cm
Option 2: 4 cm
Option 3: 3 cm
Option 4: 5 cm
Question : The curved surface area is thrice as big as the base area of a cone. If the diameter of the cone is 1 cm. Then what is the total surface area (in cm2) of the cone?
Option 1: $\pi$
Option 2: $3\pi $
Option 3: $2\pi$
Option 4: $4\pi $
Question : Find the curved surface area of a cone whose radius of the base is 7 cm and slant height is 8 cm. [Use $\pi=\frac{22}{7}$]
Option 1: 132 cm2
Option 2: 198 cm2
Option 3: 154 cm2
Option 4: 176 cm2
Question : What will be the curved surface area of a cone of radius 5 cm and a slant height of 30 cm? (Use $\pi=3.14$)
Option 1: 234 m2
Option 2: 715 m2
Option 3: 543 m2
Option 4: 471 cm2
Question : The height of a right circular cone is 24 cm. If the diameter of its base is 36 cm, then what will be the curved surface area of the cone?
Option 1: $1444.6 \; \mathrm{cm^2}$
Option 2: $2400.9\; \mathrm{cm^2}$
Option 3: $1697.14 \; \mathrm{cm^2}$
Option 4: $2144.2\; \mathrm{cm^2}$
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