Question

What is the surface area of a cone with diameter 28 cm and height 22 cm in terms of pi?

a. 196 pi cm^2
b.365 pi cm^2
c.561.1 pi cm^2
d.2202.8 pi cm^2

Answer 1

The surface area of a cone equation is something really annoying to type out so look at the picture. radius=1/2diameter so r=14. h=22 Plug in the equation to get 561pi.
Just use ur calculator.

Answer 2

The surface area of a cone with diameter 28 cm and height 22 cm in terms of pi is:

c. 561.1 pi cm²

Explanation:

The diameter of cone= 28 cm

Radius of cone is half the diameter this means that:

Radius(r) of cone= 14 cm

Also, height(h) of cone= 22 cm

We know that the surface area of cone is given by:

`Surface\ Area=\pi r(r+√(h^2+r^2))`

Now as we know the value of h and r hence we will substitute these values in the formula to get:

`Surface\ Area=\pi * 14(14+√((14)^2+(22)^2))\\\\\\Surface\ Area=14\pi (14+26.07681)\\\\\\surface\ Area=14\pi* 40.07681\\\\\\Surface\ Area=561.07534\pi cm^2`

Hence, the surface area of cone is: 561.1π cm²