Chapter 12, Problem 4STP

To determine

To calculate:To find the paper needed to make a cup where height is $12$ $cm$ , slant height is $13$ $cm$ and a diameter of $10$ $cm$

Answer to Problem 4STP

The Paper cup needed is $204.2$ $c{m}^2$ .

The correct answer is $H.$ $204.2$ $c{m}^2$ .

Explanation of Solution

Given information:

Given paper cup in the shape of a cone where the height is $12$ $cm$ , slant height is $13$ $cm$ and a diameter of $10$ $cm$

Formula Used:

Surface Area of a cone is given as $\pi rl$ , where $r$ is the radius and $l$ is the Slant height.

Calculation:

Given height is $12$ $cm$ , slant height is $13$ $cm$ and a diameter of $10$ $cm$

Substituting the above values in the formula for the Surface Area of the Cup, we have:

  $S.A.=3.14\times 5\times 13$

Solving the above equation, we have:

  $S.A.=$ $204.2$

Thus, the Surface Area of the Cupis $204.2$ $c{m}^2$ .

Conclusion:

The Paper cup needed is $204.2$$c{m}^2$ .

The correct answer is $H.$ $204.2$$c{m}^2$ .