<PRE><B>Question 21531</B>
The diameter of a conical paper cup is 3.5 inches, and the length of the sloping side is 4.55 inches. How much water will the cup hold?
VOLUME OF A CONE = V  =PI*R*R*H/3
WE HAVE DIAMETER=3.5 INCHES...HENCE RADIUS =3.5/2=1.75 INCHES
SLANT LENGTH =L=4.55
FROM PYTHOGARUS THEOREM WE HAVE L*L=H*H+R*R
4.55*4.55=H*H+1.75*1.75
H*H=4.55*4.55-1.75*1.75=(4.55+1.75)(4.55-1.75)=6.3*2.8=(3*3*0.7)*(0.7*2*2)
H=3*0.7*2=4.2
HENCE V=PI*1.75*1.75*4.2/3=13.475 CUBIC INCHES
</PRE>