Question : What is the difference between the total surface area and the curved surface area of a cone whose radius is 35 cm? (Take $\pi=\frac{22}{7}$)
Option 1: 3850 cm2
Option 2: 3704 cm2
Option 3: 3750 cm2
Option 4: 3675 cm2
Correct Answer: 3850 cm2
Solution : Given: Radius of the cone ($r$) = 35 cm Let the slant height be $l$ cm. Curved surface area = $\pi r l$ Total surface area = $\pi r (l+r)$ Now, Total surface area – curved surface area = $\pi r (l+r)-\pi r l$ = $\pi r^2$ = $\frac{22}{7}\times35\times35$ = 3850 cm2 Hence, the correct answer is 3850 cm2.
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Question : The total surface area of a right circular cylinder is 1848 cm2. The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)
Option 1: 4312 cm3
Option 2: 3696 cm3
Option 3: 4002 cm3
Option 4: 4851 cm3
Question : The area of the base of a cone is 616 cm2. If its slant height is 20 cm, then what is the total surface area of the cone? [Use $\pi$ = $\frac{22}{7}$]
Option 1: 1352 cm2
Option 2: 1296 cm2
Option 3: 1496 cm2
Option 4: 1524 cm2
Question : What is the total surface area of a solid right circular cylinder of radius 7 cm and height 8 cm?$(\pi=\frac{22}{7})$
Option 1: 560 cm2
Option 2: 660 cm2
Option 3: 850 cm2
Option 4: 760 cm2
Question : The curved surface area of a cone whose base radius is 7 cm and slant height is 10 cm is:
Option 1: 280 cm2
Option 2: 250 cm2
Option 3: 300 cm2
Option 4: 220 cm2
Question : The radius and height of a right circular cone are in the ratio 1 : 2.4. If its curved surface area is 2502.5 cm2, then what is its volume? (Take $\pi=\frac{22}{7}$)
Option 1: 8085 cm3
Option 2: 8820 cm3
Option 3: 11550 cm3
Option 4: 13475 cm3
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