A worm has a diameter of 2.4cm and its length is upto 1.9M.
a)How do I calculate the surface area?
b)How do I calculate the volume?
c)How do I work out the volume ratio of the worm?
Please help!
Thanx kim xxx
Surface area= PI*2*radius * length]
Volume= PI * radius^2 * length
volume ratio = volume/area
thats so easy
To calculate the surface area of a worm, you can use the formula:
Surface area = π × 2 × radius × length
In this case, the diameter of the worm is given as 2.4 cm. To calculate the radius, divide the diameter by 2:
radius = diameter / 2 = 2.4 cm / 2 = 1.2 cm
Now, convert the radius to meters (since the length is given in meters):
radius = 1.2 cm = 0.012 m
The length of the worm is given as 1.9 m.
Substitute the values into the formula:
Surface area = π × 2 × 0.012 m × 1.9 m
Once you have π (pi) and the values for length and radius in meters, simply multiply them together to get the surface area.
To calculate the volume of the worm, you can use the formula:
Volume = π × radius^2 × length
Again, the radius is 0.012 m and the length is 1.9 m. Substitute the values into the formula:
Volume = π × (0.012 m)^2 × 1.9 m
Lastly, to calculate the volume ratio of the worm, you need to divide the volume by the surface area:
Volume ratio = Volume / Surface area
Substitute the calculated values into the formula:
Volume ratio = [π × (0.012 m)^2 × 1.9 m] / [π × 2 × 0.012 m × 1.9 m]
Cancel out the common terms of π, 0.012 m, and 1.9 m, leaving:
Volume ratio = 0.012 m / 2
Simplify the ratio:
Volume ratio = 0.006
Therefore, the volume ratio of the worm is 0.006.