tha base area of a cone is 38.5 cm2 . its volume is 77 cm3 . find its height
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Answered by
7
A cone has 1/3rs area of a cylinder of same height and same radius.
Hence, volume of cone = 1/3 × πr²h
Given that the volume is 77 cm³
=> 1/3 × πr²h = 77
base area = 38.5 cm²
=> πr² = 38.5 cm²
So let us put the value of πr² in the equation
=> 1/3 × 38.5 × h = 77
=> h = 77 × 3/38.5
=> h = 6 cm
Hope it helps dear friend ☺️✌️
Hence, volume of cone = 1/3 × πr²h
Given that the volume is 77 cm³
=> 1/3 × πr²h = 77
base area = 38.5 cm²
=> πr² = 38.5 cm²
So let us put the value of πr² in the equation
=> 1/3 × 38.5 × h = 77
=> h = 77 × 3/38.5
=> h = 6 cm
Hope it helps dear friend ☺️✌️
Answered by
6
Hello Mate!
So, base area of cone = πr² = 38.5 cm²
Volume of cone = ⅓ πr²h = 77 cm³
Volume of cone = ⅓ × πr² × h
77 cm³ = ⅓ × 38.5 × h
77 × 3 × 1 / 38.5 = h
2 × 3 = h
6 cm = h
So height if cone is 6 cm.
Have great future ahead!
So, base area of cone = πr² = 38.5 cm²
Volume of cone = ⅓ πr²h = 77 cm³
Volume of cone = ⅓ × πr² × h
77 cm³ = ⅓ × 38.5 × h
77 × 3 × 1 / 38.5 = h
2 × 3 = h
6 cm = h
So height if cone is 6 cm.
Have great future ahead!
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