The volume of the sand castle toy is 317.925 cm³
The formula for the Volume of a cone is : [tex] V= \frac{1}{3}\pi r^{2}h [/tex]
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= [tex] \frac{9}{2} = 4.5 [/tex] cm
The height is also given as : h= 15 cm
So, according to the formula of Volume,
[tex] V= \frac{1}{3}\pi r^{2}h \\ \\ V= \frac{1}{3}(3.14)(4.5)^2(15) [/tex] (By plugging π = 3.14, r = 4.5 and h= 15)
[tex] V= \frac{1}{3} (3.14)(20.25)(15)\\ \\ V= \frac{1}{3} (953.775)\\ \\ V= 317.925 [/tex]
So, the volume of the cone toy is 317.925 cm³
