Question

Yhe total surface area of cone is 71.28 cm2 find the volume of its cone if the diameter of base 5.6cm

Answer 1

Here is ur answer buddy

Answer 2

The volume of the cone is 39.96 cm³.

Step-by-step explanation:

Consider the provided information.

Total surface area of cone is A=πr(l+r)

It is given that the diameter of base is 5.6 cm.

Therefore, the radius is: 5.6/2 = 2.8 cm

Total surface area of cone is 71.28 cm² the radius of base is 2.8 cm.

Substitute the respective value in above formula.

$71.28=\frac{22}{7}\times2.8(l+2.8)$

$71.28=22\times0.4(l+2.8)\\l+2.8=\frac{71.28}{8.8}\\l=5.3$

Now find the height of the cone.

$5.3^2=2.8^2+h^2\\28.09-7.84=h^2\\20.25=h^2\\h=4.5$

The volume of cone is: $V=\frac{1}{3}\pi r^2h$

$V=\frac{1}{3}\frac{22}{7} 2.8^24.5$

$V=\frac{1}{3}\times\frac{22}{7}\times 2.8^2\times4.5\\\\V=\frac{22}{7}\times 7.84\times1.5\\\\V=22\times 1.12\times1.5\\\\V=36.96$

Hence, the volume of the cone is 39.96 cm³.

#Learn more

Find the Slant height and vertical height of a cone with a diameter 5.6cm and curved surface area is 158.4cm²

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