Question

What is the surface area of the cone? Use 3.14 for pi. Suppose the diameter and the slant height of a cone are cut in half. How does this affect the surface area of the cone? Explain.The surface area of the cone is about ___cm2.

Answer 1

Question: what is the surface area of the cone:

Solution:

Let the following cone:

The surface area of the above cone is given by the following formula:

`SA\text{ = }\pi rs\text{ +}\pi\text{ }r^2`

thus, applying the data of the problem to the previous formula, we obtain:

`SA\text{ = }\pi(16)22\text{ + }\pi(16)^2`

this is equivalent to:

`SA\text{ = 352}\pi\text{ + 256}\pi\text{ = 608}\pi\approx1909.12`

then, the correct answer is:

`SA\text{ = }1909.12cm^2`