Question : What is the total surface area of a cone, if the slant height and radius of a cone are 30 cm and 14 cm, respectively?
Option 1: 1980 cm2
Option 2: 1963 cm2
Option 3: 1908 cm2
Option 4: 1936 cm³
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Correct Answer: 1936 cm³
Solution : The slant height and radius of a cone are 30 cm and 14 cm. Total surface area of a cone = $\pi r(r+l)$ = $\frac{22}{7}×14(14+30)$ = 44 × 44 = 1936 Hence, the correct answer is 1936 cm2.
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Question : The slant height of a cone is 20 cm. If the area of its base is 616 cm2, then what is the curved surface area of this cone? (use $\pi=\frac{22}{7}$)
Option 1: 960 cm2
Option 2: 400 cm2
Option 3: 1760 cm2
Option 4: 880 cm2
Question : The lateral surface area of a frustum of a right circular cone, if the area of its base is 16$\pi$ cm2, the diameter of the circular upper surface is 4 cm and the slant height is 6 cm, will be:
Option 1: $30\pi$ cm2
Option 2: $48\pi$ cm2
Option 3: $36\pi$ cm2
Option 4: $60\pi$ cm2
Question : If the slant height of a cone is 60 cm and the radius of its base is 21 cm, then find its curved surface area is? (use $\pi=\frac{22}{7}$)
Option 1: 3880 cm2
Option 2: 3820 cm2
Option 3: 3960 cm2
Option 4: 4020 cm2
Question : What is the whole surface area of a cone with a base radius of 6 cm and height of 8 cm?
Option 1: 354.50 cm2
Option 2: 350.51 cm2
Option 3: 301.71 cm2
Option 4: 364.61 cm2
Question : The volume of a cone whose radius of a base and height are $r$ cm and $h$ cm respectively, is 400 cm3. What will be the volume of a cone whose radius of base and height are $2r$ cm and $h$ cm respectively?
Option 1: 100 cm3
Option 2: 1600 cm3
Option 3: 1200 cm3
Option 4: 800 cm3
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