Question

The radius and slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm², find its radius. (Use π = 22/7).

A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

Once upon a time in Ghaziabad was a corncob seller. During the lockdown period in the year 2020, his business was almost lost. So, he started selling corn grains online through Amazon and Flipkart. Just to understand how many grains he will have from one corncob, he started counting them. Being a student of mathematics, let's calculate it mathematically. Let's assume that one corncob (see Fig.), shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length as 20 cm.