Question : What is the volume of a cone whose base diameter is 12 cm and the height is 21.7 cm?
Option 1: 626.35 cm3
Option 2: 548.67 cm3
Option 3: 818.07 cm3
Option 4: 334.59 cm3
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Correct Answer: 818.07 cm3
Solution : Given diameter = 12 cm So, radius $=\frac{12}{2}=6$ cm Height, $h$ = 21.7 cm We know, Volume of a cone $=\frac{1}{3}\pi r^2h=\frac{1}{3}×\frac{22}{7}×(6)^2×(21.7)=818.07$ cm3 Hence, the correct answer is 818.07 cm3.
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Question : The area of the base of a solid cone is 616 cm2. If the height of the cone is 15 cm, then what is the volume of this cone?
Option 1: 2940 cm3
Option 2: 3440 cm3
Option 3: 3190 cm3
Option 4: 3080 cm3
Question : The height of a cone is 12 cm and the radius of its base is 14 cm. What is the volume of the cone?
Option 1: 2464 cm3
Option 2: 2692 cm3
Option 3: 2248 cm3
Option 4: 2872 cm3
Question : The volume of a cone is 27720 cm3. If the height of the cone is 20 cm, then what will be the area of the base?
Option 1: 4158 cm2
Option 2: 4272 cm2
Option 3: 4626 cm2
Option 4: 4836 cm2
Question : What is the area of a triangle whose base is 12 cm and the corresponding height is 35 cm?
Option 1: 212 cm2
Option 2: 210 cm2
Option 3: 201 cm2
Option 4: 263 cm2
Question : Find the area of the triangle whose height is 56 cm and the corresponding base is $\frac{1}{4}$th of the height.
Option 1: 544 cm2
Option 2: 440 cm2
Option 3: 392 cm2
Option 4: 480 cm2
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