Acylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. the base of the can has an area of 75 cm2, and the height of the can is 10cm. if 110 cm3 of syrup is needed to fill the can to the top, what is the total volume of the pieces of fruit in the can?

The total volume of the pieces of fruit in the can is

Step-by-step explanation:

step 1

Find the volume of the cylindrical can

The volume of the can  is equal to

where

B is the area of the base of the can

H is the height of the can

we have

substitute

step 2

Find the volume of the pieces of fruit in the can

The volume of the pieces of fruit in the can is equal to subtract  the volume of syrup from the volume of the can

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

2500

step-by-step explanation: