Question

A solid metallic right cone is melted and some solid right circular cylinder are made.If radius of base of each cylinder if half the radius of cone and height of each cylinder is one third the height of cone,then number of cylinder formed

Answer 1

Explanation:

Total Surface Area of a Cylinder. Consider a cylinder of radius r and height h. The total surface area (TSA) includes the area of the circular top and base, as well as the curved surface area (CSA). The total surface area (TSA) of a cylinder with radius r and height h is given by.

Answer 2

The number of cylinders formed =4

Explanation:

Let r be the radius of cone  and h be the height of cone

Radius of cylinder=$\frac{1}{2} r$

Height of cylinder=$\frac{1}{3} h$

Volume of solid melted right  cone=$\frac{1}{3}\pi r^2 h$

Volume of  cylinder=$\pi r^2 h$

Substitute the values then we get

Volume of right circular cylinder=$\pi (\frac{r}{2})^2\times \frac{1}{3}h=\frac{\pi r^2 h}{12}$

Number of cylinder formed=$\frac{volume\;of\;cone}{volume\;of\;cylinder}$

Number of cylinder formed=$\frac{\pi r^2 h}{3\times \frac{\pi r^2 h}{12}}$

Number of cylinder formed=4

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