Question

A sand castle toy is in the shape of a cone. The diameter of the cone toy is 9 cm. The height of the cone is 15 cm. What is the volume of the cone toy? Enter your answer as a decimal in the box. Use 3.14 for pi.

Answer 1

317.925

Step-by-step explanation: I took the test

Answer 2

The volume of the sand castle toy is 317.925 cm³

The formula for the Volume of a cone is :
`V= (1)/(3)\pi r^(2)h`

where, r = radius of the circular base and h= height of the cone

Given that, diameter of the circular base = 9 cm

As the length of the diameter is twice the length of the radius, so

the radius will be, r=
`(9)/(2) = 4.5` cm

The height is also given as : h= 15 cm

So, according to the formula of Volume,

`V= (1)/(3)\pi r^(2)h \\ \\ V= (1)/(3)(3.14)(4.5)^2(15)` (By plugging π = 3.14, r = 4.5 and h= 15)

`V= (1)/(3) (3.14)(20.25)(15)\\ \\ V= (1)/(3) (953.775)\\ \\ V= 317.925`

So, the volume of the cone toy is 317.925 cm³