Find the surface area of the cone. Use 3.14 for pi. The diameter is 8in and the height is 7in please help asap!! And thank you for your time. Ms.Sue?
468.23 answer
http://www.mathopenref.com/conearea.html
You will need the slant height s , the hypotenuse
s^2 = 4^2 + 6^2 = √52
surface area = πrs + (πr^2) , using the formula on Ms Sue's page
= 4√52π + 16π
You didn't state if the circular base is to be included, so ....
your choice.
To find the surface area of a cone, you need to know its slant height. However, in this case, we can use the diameter and height to calculate the slant height using the Pythagorean theorem.
First, let's find the radius of the cone by dividing the diameter by 2:
radius = diameter / 2 = 8in / 2 = 4in
Next, let's use the Pythagorean theorem to find the slant height. The slant height (l) is the hypotenuse of a right triangle formed by the height (h) and the radius (r). The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, so we have:
l^2 = r^2 + h^2
Plugging in the values, we have:
l^2 = 4^2 + 7^2
l^2 = 16 + 49
l^2 = 65
l = √65 ≈ 8.06in (rounded to two decimal places)
Now that we have the slant height (l), we can calculate the surface area of the cone using the formula:
surface area = π * r * l
Plugging in the values, we have:
surface area = 3.14 * 4in * 8.06in
surface area ≈ 101.27in² (rounded to two decimal places)
Therefore, the surface area of the cone is approximately 101.27 square inches.