Adam uses coconut milk for the dessert. The coconut milk is in a can but he doesn’t know how much the can holds. The can is 12 cm high and the diameter is 8 cm. Using the formula V = π r2 h, work out how much coconut milk is in the can. Use 3 as a value for π.
Given:
Diameter = 8 cm
Height = 12 cm
Value of pi = 3
radius is 1/2 of the diameter. r = 8cm/2 = 4cm
Volume = π r² h
V = 3 (4cm)² 12 cm
V = 3 16cm² 12 cm
V = 576cm³
Volume of the can is 576cm³. It is also the amount of milk inside the can.
Answer:
There is 576 cm³ of coconut milk in the can.
Explanation:
The formula to calculate the volume of the can us given as:
\(volume = \pi r^2h\)
where:
π is a constant given = 3
r is the radius of the can = \(\frac{diameter}{2} = \frac{8}{2} = 4\) cm
h is the height of the can = 12 cm
Substitute with these values in the given equation to get the volume as follows:
volume = 3 (4)² (12)
volume = 576 cm³
Now, assuming that the can is completely filled with coconut milk, the volume of milk will be equal to the volume of the can.
Hope this helps :)