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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Correct Answer: $1697.14 \; \mathrm{cm^2}$
Solution : Given that the diameter of the base is 36 cm. So the radius is 18 cm. Height = 24 cm $l = \sqrt{r^2 + h^2} = \sqrt{(18)^2 + (24)^2}=30\; \text{cm}$ We know, the curved surface area of a cone $=\pi rl$, where $r$ = radius and $l$ = slant height $= \frac{22}{7}\times 18 \times 30=1697.14\; \mathrm{cm^2}$ Hence, the correct answer is $1697.14\; \mathrm{cm^2}$.
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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 : The curved surface area of a cylinder is 968 cm2. If the height of the cylinder is 11 cm, then what will be the diameter of its base?
Option 1: 26 cm
Option 2: 22 cm
Option 3: 28 cm
Option 4: 24 cm
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: $66 \pi \;{cm}^2$
Question : The radius of a right circular cylinder is 7 cm. Its height is thrice its radius. What is the curved surface area of the cylinder?
Option 1: 724 cm2
Option 2: 666 cm2
Option 3: 924 cm2
Option 4: 264 cm2
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