Find the total surface area of a right cone with a base diameter of 10cm and a height of 12cm. give your answer in terms of pie.

The total surface area is 90π cm²

Step-by-step explanation:

To find the total surface area of his cone, we will follow the steps below;

write the formula for finding the total surface area of a cone

Total surface area = πrl + πr²

where r is the radius  and l is the slant height

from the question, diameter = 10 cm, diameter = 2r     this implies  that r = d/2 = 10/2 = 5 cm

Also from the question given to us, height h = 12 cm, but what we want  is slant height l. We can find this by using the Pythagoras theorem to find the slant height using the height giving to us and the radius.

opposite² + adjacent² = hypotenuse²

where radius is the adjacent, height is the opposite  and the slant height is the hypotenuse

5²  +  12²  = l²

25 + 144 = l²

169 = l²

13 = l

l= 13 cm

hence slant height =13 cm

We can now proceed to insert the values into the formula

Total surface area = πrl + πr²

                              = π×5×13 + π×5²

                               =65π + 25π

                                =90π cm²

The total surface area is 90π cm²

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.