we know that
The volume of a cone is equal to
V=(1/3)Bh
where
B is the area of the base of cone
h is the height of the cone
In this problerm we have
B=12.5 in^2
h=6 in
substitute the given values
V=(1/3)(12.5)(6)
V=25 in^3
the volume is 25 cubic inches
In the other problem
with the radius calculate the area of the base
the base is a circle
so
B=pi r^2
the height is given
so
substitute in the formula and calculate the volume
Find the volume of the pyramid
The volume of the pyramid is given by the formula
V=(1/3)Bh
where
B is the area of the base of pyramid
h is the height of the pyramid
in this problem
we have
B=22 1/2 yd^2 ------> convert to decimal
B=22.5 yd^2
we have
h=6 yd
substitute in the formula
V=(1/3)(22.5)(6)=45 yd^3