Question : The total surface area of a cone whose radius is 3 cm and height is 4 cm is:
Option 1: $\frac{425}{7} \mathrm{~cm}^2$
Option 2: $\frac{501}{9} \mathrm{~cm}^2$
Option 3: $\frac{475}{8} \mathrm{~cm}^2$
Option 4: $\frac{528}{7} \mathrm{~cm}^2$
Correct Answer: $\frac{528}{7} \mathrm{~cm}^2$
Solution : Radius ($r$) = 3 cm and height ($h$) = 4 cm Let $l$ be the slant height of the cone. We know, $l^2 = r^2 + h^2$ $⇒l^2 = 3^2 + 4^2$ $\therefore l= 5$ cm $\therefore$ Total surface area $=\pi r(r+l)=\frac{22}{7} \times 3 \times(3+ 5)=\frac{528}{7}\ \text{cm}^2$ Hence the correct answer is $\frac{528}{7}\ \text{cm}^2$.
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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 : 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 : 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 radius of a right circular cone is 3 cm and its height is 4 cm. The total surface area of a cone is:
Option 1: 48.4 cm2
Option 2: 64.4 cm2
Option 3: 96.4 cm2
Option 4: 75.4 cm2
Question : The radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:
Option 1: 200$\pi$
Option 2: 120$\pi$
Option 3: 136$\pi$
Option 4: 128$\pi$
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