Question

easy points, need help with this question due tomorrow. the formula is given but im not sure how to solve, help?

Answer 1

Answer:

Approximated: 358.14 cm²

Exact: 358.141562509 cm²

Step-by-step explanation:

Hello!

The formula given with the question is only for the Curved Surface Area of a cone. Remember that the cone still has a circular base!

Curved Surface Area

We have the formula and the value to solve for the curved surface area.

Solve

• $A = \pi rl$
• $A = \pi(6)(13)$
• $A = 78\pi$
• $A = 245.04422698 \approx 245.04$

Base Area

Now, we just have to solve for the circular base and add the two values for the total area.

Formula: $A = \pi r^2$

Solve

• $A = \pi r^2$
• $A = \pi (6^2)$
• $A = 36\pi$
• $A = 113.097335529 \approx 113.1$

Surface Area

Now we can add the two values to get a total of 358.14cm².

Another way to be a little more precise was to add 78π and 36π directly, but it still rounds to around the same value.