Question

Volume of a cone is 1570 cm cube and the area of the base is 314 CM square find its height

Answer 1

the height will be 5 cm

Answer 2

Answer:

Volume of a cone(V) is given by:

$V = \frac{1}{3} \cdot B \cdot h$

where,

B is the base area of the cone

h is the height of the cone.

As per the statement:

Volume of a cone is 1570 cm cube and the area of the base is 314 CM square

⇒V = 1570 cm cubic and B = 214 cm square.

Substitute this in [1] we have;

$1570 = \frac{1}{3} \cdot 314 \cdot h$

Multiply both sides by 3 we get;

$4710 = 314h$

Divide both sides by 314 we have;

15 = h

or

h = 15 cm

Therefore, the height of the cone is, 15 cm