A Maths problem- volume?

Question

Fred has been asked to convene the toffee apple stall at the local school fair. In order to estimate the amount of toffee required for 1500 apples, he assumes that each apple is a sphere of diameter 6cm and will be entirely coated with toffee to a thickness of 2mm. What volume of toffee is required altogether?

Can you please show me all ur working out? cheers... :)

Answer 1

eassy!!!

4/3 x (pie) x r^3................(the volume formula)

1.     in this case. r is half the apple diameter(3) + the toffea aple thinkness..

so//.....r = 5

2.     then do the same formula for just the apple,, ie. r = 3 (half diamter)

then subtract the second answer from the first answer, ie (1) --- (2)

then times it by 1500 ( the number of apples)

Answer 2

NOO!

this makes me cry

Answer 3

Need outer volume (toffee) minus the inner volume (apple) for this problem

Then multiply by the number of apples.

Use the formula for Volume of a Sphere.

Answer 4

you need to work out the area of the toffee around the apple then subtract the are of the apple to find how much toffee

this is how

diameter or d=6cm

radius or r=3cm

[pi]=3.142

work out area of the circle.

[pi]r^2= 3.142*3^2= 28.278

find area of the apple with toffee

d=6.2cm

r=3.1cm

[pi]r^2=3.142*3.1^2=30.2

just the area of the toffee

30.2-28.3= 1.9

to find it for all the toffee times by 1500

1.9*1500= 2850 therfore all the toffee needed for every apple is in volume      v=2850

Answer 5

You'll want to find how much it takes to coat one apple, and then multiply that by 1500.

You can find the volume required for one apple by subtracting the volume of a sphere of diameter 6cm from one of 6.2cm, as this would be the amount of toffee per apple.

volume of sphere = (4pi (r^3)) /3

r=(6.2-6)/2=0.2/2=0.1cm or 1mm

4*pi/3

now multiply by 1500

1500*4*pi/3=2000pi

Answer 6

the volume of a sphere is 4/3 (pie) r^3     r is radius.... note you have the diameter.

work put the volume of toffee on each apple by working out the volume of the toffee and apple and subtracting from it the volume of the apple.

then multiply this by the number of apples.

Answer 7

Vol. of apple + toffee = (4/3) π 3.2 ³ cm ³

Vol. of apple = (4/3) π 3 ³ cm ³

Vol. of toffee / apple = (4/3) π ( 3.2 ³ - 3 ³ ) cm ³

Vol. of toffee / apple = 24.2  cm ³

Total vol. = 1500 x 24.2 cm³

Total vol. = 36,300 cm³

Total vol. = 36.3 litres