Question : A hemispherical bowl whose radius is 21 cm is full of ice cream. Find the volume of the ice cream. (take $\pi=\frac{22}{7}$)
Option 1: 20000 cm3
Option 2: 21000 cm3
Option 3: 22000 cm3
Option 4: 19404 cm3
Correct Answer: 19404 cm3
Solution : A hemispherical bowl whose radius is 21 cm is full of ice cream. We know that the volume of a hemisphere = $\frac{2}{3}\pi r^3$, where $r$ is the radius So, the required volume of the ice cream = $\frac{2}{3}×\frac{22}{7}×21×21×21$ = 19404 cm3 Hence, the correct answer is 19404 cm3.
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Question : The area of a circle is 1386 cm2. What is the radius of the circle? [Use $\pi= \frac{22}{7}$]
Option 1: 7 cm
Option 2: 14 cm
Option 3: 18 cm
Option 4: 21 cm
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
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 height of a cylinder is $\frac{2}{3}$rd of its diameter. Its volume is equal to the volume of a sphere whose radius is 4 cm. What is the curved surface area (in cm2) of the cylinder?
Option 1: $\frac{112}{3} \pi$
Option 2: $32 \pi$
Option 3: $\frac{128}{3} \pi$
Option 4: $40 \pi$
Question : The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm2. Its volume (in cm3) is: (Take $\pi=\frac{22}{7}$)
Option 1: 3080
Option 2: 1078
Option 3: 6160
Option 4: 9240
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