Question

Easy question this time!!

A cylinderical 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 10 cm. If 110 cm³ of syrup is needed to fill the can to the top, which is closest to total volume of pieces of fruits in can?

A) 7.5 cm³
B) 185 cm³
C) 640 cm³
D) 750 cm ³


No spam plz!! ​

Answer 1

Answer:

$\qquad\qquad\underline{\textsf{\textbf{ \color{magenta}{Solution\:completed} }}}$

Given :-

• A cylinderical 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 10 cm. If 110 cm³ of syrup is needed to fill the can to the top.

Find Out :-

• The total volume of pieces of fruits in can?

Solution :-

For the cylindrical can,

• Area of base = πr² =75 cm²

• Height = h=10 cm

Volume of the cylindrical can :-

➙ πr²h

➙ 75 × 10

➙ 750 cm³

Volume of syrup= 110 cm³

Therefore,

Volume of fruits :-

➙ Volume of cylinder - Volume of syrup

➙ (750-110) cm³

➙ 640 cm³

Henceforth, the total volume of pieces of fruits in can is 640 cm³.

Answer 2

★ Given :-

• Area of base of a can = 75 cm²
• Height of the can = 10 cm
• Volume of syrup in the can = 110 cm³

★ To Find :-

• Volume of the fruits in the can

★ Formula Used :-

$\bigstar \: \boxed { \sf \: \orange{volume \: of \: cylinder \: = \pi \: {r}^{2}h }}$

★ Solution :-

We have already been provided with area of the base ( π r² ) which is 75 cm²

Now, we can simply multiply the height and the area of base of the can to get it's volume.

$\sf : \implies \: volume \: of \: ca n = 75 \: {cm}^{2} \times 10 \: {cm}^{2} \\ \sf : \implies \: volume \: of \: ca n = 750 \: {cm}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Now, we have been provided with volume of the syrup, and we know that,

=> Volume of can = volume of fruits + volume of syrup

$\sf : \implies \: volume \: of \:fruits= 750 \: {cm}^{3} - 110 \: {cm}^{3} \\ \sf : \implies \: volume \: of \:fruits= 650 \: {cm}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the volume of the fruits is $\boxed{ \sf \: \pink{ 650 \: {cm}^{3} }}$.

I hope that it helps! $\boxed{ \sf \: \orange{ @aanyaawesome008}}$