Question

A soft drink is available in two types of packs, a tin can with a rectangular base 8cm x
6cm x 12cm and another cylindrical can with a circular base of diameter 7cm and
height 15cm. Which container has a higher capacity?
​

Answer 1

Understanding the question and Concept used

In the question, we will be using the formulas of volume for both cuboid and cylinder. The question is an analytic type where we have to find the volume of each box separately and find which one has higher capacity.

Solution,

✳ The Tin Can

The tin can is in the shape of a cuboid.

Length = 8 cm

Breadth = 6 cm

Height = 12 cm

Volume of a cuboid = lbh

= 8 x 6 x 12

= 576 cm³

∴ 576 cm³ is the volume of the tin can.

✳ The Cylindrical Can

Height = 15 cm

Base diameter = 7 cm

So, radius = $\dfrac{7}{2}$

= 3.5 cm

Volume of a cylinder = πr²h

= $\dfrac{22}{7}\times3.5\times3.5\times15$

= 577.5cm³

∴ 577.5cm³ is the volume of the cylindrical can.

Conclusion,

The volume of the cuboidal can = 576 cm³

The volume of the cylindrical can = 577.5cm³

577.5  > 576 by 1.5 cm³.

∴ The cylindrical can has more area by 1.5 cm³