Question

a powder is available in two pack at tin can with a square base of each side 9 centimetre and height 12 cm and one with circular base of radius 3.5 cm and height 10 cm which of them have greater capacity and by how much​

Answer 1

Given :---

• Side of base of Square tin = 9cm
• Height of tin = 12cm .
• Radius of circular base Tin = 3.5cm .
• Height of Circular base tin = 10cm .

To Find :---

• Which of them have greater capacity and by how much ?

Formula used :---

→ when Tin with Height given , we can say that, its a cuboid , so, volume of cuboid = length * breadth * Height .

→ when Tin is circular in base with Height, that means its in cylinderical shape, so, volume of cylinder = πr²h .

_____________________________

Solution :---

Putting values now, we get,

→ Volume of Square base Tin = (Base Area) * Height

→ Volume = (9*9)*12 = 972cm³

and,

→ Volume of circular base Tin = π(3.5)²*10

→ Volume = 22/7 * (3.5*3.5) * 10

→ Volume = 22* 5 * 3.5 = 385cm³

Hence, volume of Square base Tin in More .

______________________________

→ Difference of Their Capacity = 972-385 = 587cm³.

So, Capacity of Square base Tin is 587cm³ More than Capacity of Circular Base Tin .

Answer 2

Answer:

From here we can see Volume of Cuboid > Volume of Cylinder

Difference in their volume = 587.35 cm³

Step-by-step explanation:

We Have :-

A Cuboid with

Length = 9 cm

Breadth = 9 cm

Height = 12 cm

A Cylinder with

Radius = 3.5 cm

Height = 10 cm

To Find :-

Which container has greater volume and by how much

Formula Used :-

$Volume\ of\ cuboid=Length*Breadth*Height\\\\Volume\ of\ cylinder = \pi r^{2} h$

Solution :-

$Volume\ of\ Cuboid = 9 * 9 *12\\\\= 972 cm^{3} \\\\Volume\ of\ Cylinder = 3.14 * 3.5 *3.5*10\\ \\= 384.65 cm^{3}$

$Difference = 972-384.65\\\\= 587.35 cm^{3}$

From here we can see Volume of Cuboid > Volume of Cylinder

Difference in their volume = 587.35 cm³