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
Correct Answer: 1496 cm2
Solution : Total Surface Area of a cone = Base Area + Curved Surface Area The base area is given as 616 cm2. The curved surface area of a cone = $\pi r l$, where $r$ is the radius of the base and $l$ is the slant height. Base Area = $\pi r^2$ $r = \sqrt{\frac{\text{Base Area}}{\pi}} = \sqrt{\frac{616}{\pi}}=\sqrt{196}= 14 \text{ cm}$ So, Curved Surface Area = $\pi \times 14 \times 20 = 880$ cm2 $\therefore$ Total Surface Area = Base Area + Curved Surface Area = 616 + 880 = 1496 cm2 Hence, the correct answer is 1496 cm2.
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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 total surface area of a solid metallic hemisphere is 462 cm2. This is melted and moulded into a right circular cone. If the radius of the base of the cone is the same as that of the hemisphere, then its height is: (use $\pi=\frac{22}{7}$)
Option 1: 14 cm
Option 2: 7 cm
Option 3: 21 cm
Option 4: 28 cm
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
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 circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$ )
Option 1: 1078 cm2
Option 2: 616 cm2
Option 3: 536 cm2
Option 4: 346.5 cm2
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