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

Mathematics

2 answers:

Ksenya-84 [330]2 years ago

8 0

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.

enot [183]2 years ago

3 0

<h2>Answer:</h2>

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

c. 561.1 pi cm²

<h2>Step-by-step explanation:</h2>

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:

$Surface\ Area=\pi r(r+\sqrt{h^2+r^2})$

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

$Surface\ Area=\pi \times 14(14+\sqrt{(14)^2+(22)^2})\\\\\\Surface\ Area=14\pi (14+26.07681)\\\\\\surface\ Area=14\pi\times 40.07681\\\\\\Surface\ Area=561.07534\pi cm^2$