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
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Correct Answer: 2 cm
Solution : The formula of the curved surface area ($CSA$) of a right circular cone is given by: CSA = $\pi × r × l$, where $r$ is the radius of the base, $l$ is the slant height, According to the question. ⇒ CSA = $\pi × r × l$ ⇒ $44 = \frac{22}{7} × r ×7$ ⇒ $r = \frac{44}{\frac{22}{7} × r × 7} = \frac{44}{22} = 2$ Hence, the correct answer is 2 cm
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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 : 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 : The surface area of a sphere is 2464 cm². Find the radius of the sphere. [Use $\pi=\frac{22}{7}$ ]
Option 1: 14 cm
Option 2: 28 cm
Option 3: 42 cm
Option 4: 40 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 volume of a right circular cone is 3080 cm³. If the radius of its base is 7 cm, then what is the height of the cone? $\left[\right.$ Use $\left.\pi=\frac{22}{7}\right]$
Option 1: 60 cm
Option 2: 80 cm
Option 3: 120 cm
Option 4: 90 cm
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