The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)

Question

asked Jul 28, 2021 133k views

1 Answer

Michael Lang · Answer 1 · 2021-08-03T22:05:16+0000

Answer:

Given,

Volume of a cone = 1540 cm
${}^(3)$

Radius ( r ) = 7 cm

π ( pi ) =

Height of cone ( h ) = ?

Now, let's find the height of cone:

Volume of cone =
$\pi \: {r}^(2) (h)/(3)$

plug the values

$1540 = (22)/(7) * {(7)}^(2) * (h)/(3)$

Evaluate

Calculate

$1540 = (154 \: h)/(3)$

Apply cross product property

$154 \: h = 1540 * 3$

Calculate the product

$154 \: h = 4620$

Divide both sides of the equation by 154

$(154 \: h)/(154) = (4620)/(154)$

Calculate

$h \: = 30 \: cm$

Hope this helps...

Best regards!!