A soft drink is available in two packs: 1. A tin can with a rectangular base of length 5 cm, breadth 4 cm and height 15 cm. 2. A plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

1. For a tin of rectangular base, Length = 5 cm Breadth = 4 cm Height = 15 cm Volume of a tin can = Length Breadth Height = (5 4 15)cm^3 = 300 cm^3 2. For a cylinder with circular base, Diameter = 7 Radius =r=7 2 cm Height = h = 10 cm Volume of cylinder = ^2h = (22 7 7 2 7 2 10 ) cm^3 =385 cm^3 Volume of plastic cylinder is greater than volume of a tin can. Difference in volume = (385 - 300) = 85 cm^3 Thus, a plastic cylinder has more capacity that a tin can by 85 cm^3.

A soft drink is available in two packs: 1. A tin can with a recta…

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Question

A soft drink is available in two packs:

A tin can with a rectangular base of length $5\ cm,$ breadth $4\ cm$ and height $15\ cm.$
A plastic cylinder with circular base of diameter $7\ cm$ and height $10\ cm.$

Which container has greater capacity and by how much?

✓

Answer

For a tin of rectangular base,

Length $= 5\ cm$
Breadth $= 4\ cm$
Height $= 15\ cm$
$\therefore$ Volume of a tin can $=$ Length $\times$ Breadth $\times$ Height
$= (5 \times 4 \times 15)cm^3$
$= 300\ cm^3$

For a cylinder with circular base,

Diameter $= 7$
$\Rightarrow$ Radius $=\text{r}=\frac{7}{2}\text{ cm}$
Height$ = h = 10\ cm$
$\therefore$ Volume of cylinder $=\pi\text{r}^2\text{h}$
$=\Big(\frac{22}{7}\times\frac{7}{2}\times\frac{7}{2}\times10\Big)\text{ cm}^3$
$=385\text{ cm}^3$
$\Rightarrow$ Volume of plastic cylinder is greater than volume of a tin can.
Difference in volume $= (385 - 300) = 85\ cm^3$
Thus, a plastic cylinder has more capacity that a tin can by $85\ cm^3.$