Question

Radius and height of a cone are in ratio 4:3 .Area of the base of the cone is 2464 square cm .find the height of the cone

Answer 1

I WILL BE GLAD TO ASSIST YOU, LET'S START-
 
The ratio of the radius is to height - 4:3
Let the radius (r) be - 4x
therefore height (h) be - 3x
the area of a cone is a circle
The formula for area of a circle is 22/7*(r^2)
The area of the base given - 2464 sq.cm
Therefore,
22/7*(4x)^2 = 2464
or, 22/7*16x^2 = 2464
or, x^2 = (2464*7)/22*16
or, x = \sqrt{49}
or, x = 7
therefore, height = 3*7 = 21cm
And that's the answer.

Answer 2

The radius and height of a cone are in the form of ratio that is equal to 4 to 3 or ,

radius/height=r/h=4/3

so that the radius is r and it is equal to - 4x

and the height of a cone is h that is equal to -3x

LSA means Lateral surface area and it's formula is

LSA=pi*r*h

LSA=pi*4*3

LSA=37.699 cm

TSA means total surface area and it's formula is

TSA=LSA+pi*r²

TSA=LSA+pi*(4)²

TSA=37.699+50.265

TSA=87.964≅88 cm

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Volume of a cone if Area of base(Ab) is given,

Ab=2564 square cm

V=Ab*h/3

V=2564*(3/3)

Volume of the cone is V= 2564 cm cube