Answer:
The surface area of a cone with diameter 28 cm and height 22 cm in terms of pi is:
c. 561.1 pi cm²
Step-by-step 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:
[tex]Surface\ Area=\pi r(r+\sqrt{h^2+r^2})[/tex]
Now as we know the value of h and r hence we will substitute these values in the formula to get:
[tex]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[/tex]
Hence, the surface area of cone is: 561.1π cm²
