Question

The radius and height of cone are in ratio 3:4 if its volume 301.44cm cube. what is its radius? what it is slant height. (use pie=3.14)

Answer 1

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Answer 2

The radius of the cone is 6cm.

The slant height of the cone is 10 cm.

Given data :

Radius and height ratio = 3:4

Volume of the cone = 301.44 cm³

So,the radius and the height of the cone are = 3x and 4x (let x = variable)

Volume = 1/3×πr²h= 1/3×π×(3x)²×4x

So,

1/3×π×(3x)²×4x = 301.44

1/3×3.14×9x²×4x = 301.44

3.14×3x²×4x = 301.44

12x³ = 96

x³ = 8

x = 2

So, cone's radius =(3×2) = 6cm (answer)

Cone's height = (4×2) = 8cm

Slant height = ✓(radius)²+(height)² ✓(6)²+(8)² = ✓36+64 = ✓100 = 10 cm (answer)