Daily ICSE Math MCQ Day[40] | QuantLogic Shorts

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[00:00:00]This is day 40 of the 365 days ICC math MCQ challenge. In this question, it is given that the volume of a conical tent is 462 m cubed and area of the base is 154 m squared. We need to find the height of the cone.

[00:00:17]So, a cone looks somewhat like this, right?

[00:00:22]Now, the total volume, what's the formula? That is 1 by 3 pi r squared h, where h is the height and we need to find that out. Now, the area of the base, see, the base is basically a circle. So, area of base will be pi r squared. Now, just put in the values. So, 1 by 3 pi r squared h is 462 and pi r squared is 154. Now, you see, pi r squared, we can directly plug it over here.

[00:01:02]So, 1 by 3 into 154 gives us into h, that's the height, gives us 462. So, therefore, h will be 462 into 3 by 154, right? Now, if we just calculate, 154 into 3, that gives us 462.

[00:01:28]And 3 into 3 is 9. So, that is the answer. H is 9 m.

[00:01:35]So, option C is our choice.

[00:01:38]For the quiz time, try and solve this question where the radius of a roller is given and you need to find the curved surface area of the roller.

[00:01:47]Also, take pi as 22 by 7. Solve this answer and comment your solutions. I'll pin the right option.