Question

Find the volume of a cone with a slant edge 5cm , and radius 3cm . Find also the total surface area

Answer 1

Answer:

let l = 5cm, r = 3cm, first find the height of the cone 'he's

then substitute the values in the formula of required Quantities

Answer 2

The volume of cone is 36π cm³

Total surface area of cone is 24π cm²

Step-by-step explanation:

The dimension of cone,

Radius, r = 3 cm

Slant height,  l =5 cm

$h=\sqrt{l^2-r^2}$

$h=\sqrt{5^2-3^2}$

$h=4\ cm$

Volume of cone $=\pi r^2h$

Volume of cone $=\pi\times3^2\times 4$

Volume of cone $=36\pi\ cm^3$

Total surface area of cone $=\pi rl+\pi r^2$

Total surface area of cone $=\pi\times 3\times5+\pi \times3^2$

Total surface area of cone $=15\pi+9\pi$

Total surface area of cone $=24\pi \ cm^2$

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