Mrs P made punch and wanted to serve it in cone shaped cups. When she poured the drink into the cup she poured it to the top and still had some remaining in the bowl. Mrs P knew that she made 355ml of punch. The height of the cone shaped cup was 12cm and measured 8cm from one edge of the rim to the other.
a) Mrs P want to determine how much liquid her cone cup can hold? Round your answer to the nearest whole number
(hint:1ml=1cm^3)
so I did
v of cone=1/3TTr^2h
TT(4cm^2)(12cm)/3 =201cm^3=201 ml
B) how much punch is left over in the bowl?
355ml-201ml=154ml
Is this correct?
Thanks for checking my work
Looks good to me.
Your calculations are almost correct! However, there is a small error in the calculation of the volume of the cone cup. Let me explain the correct process to find the volume of the cone-shaped cup:
a) To determine the volume of a cone-shaped cup, we use the formula:
Volume of cone = (1/3) * π * r^2 * h
Given:
Height of the cone-shaped cup (h) = 12cm
Radius of the cup (r) = 8cm (half the diameter)
Calculating the volume:
Volume of cone = (1/3) * π * (8cm)^2 * 12cm
= (1/3) * π * 64cm^2 * 12cm
= (1/3) * 3.14 * 64cm^2 * 12cm
≈ 804 cm^3 (rounded to the nearest whole number)
So, the cone-shaped cup can hold approximately 804ml of liquid when filled to the top.
b) To find out how much punch is left over in the bowl, we subtract the volume of the cup from the total amount of punch made:
Punch left over = Total amount of punch - Volume of cone-shaped cup
= 355ml - 804ml
= -449ml
Since the result is negative (-449ml), it means that the 355ml of punch is not enough to fill the 804ml cone-shaped cup completely. Therefore, the punch left over in the bowl is 0ml.
In summary, the corrected answers are:
a) The cone-shaped cup can hold approximately 804ml of liquid.
b) There is no punch left over in the bowl.
Hope this clears up any confusion!