Question

Compare the volumes
of Cylinder (Radius=10 cm, Height=14 cm)

Cuboid (L=10 cm, B=11 cm, H=14 cm)​

Answer 1

The volume of the cylinder is more than the volume of the cuboid.

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Let's understand a few concepts:

We will use the following formulas to solve the given problem:

• $\boxed{\bold{Volume\:of\:cuboid = length \times breadth \times height}}$

• $\boxed{\bold{Volume \:of\:cylinder = \pi r^2h}}$

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Let's solve the given problem:

For Cylinder:

The radius of the cylinder (r) = 10 cm

The height of the cylinder (h) = 14 cm

Therefore,

The volume of the cylinder is,

= $\pi r^2 h$

= $\frac{22}{7} \times 10^2\times 14$

= $22\times 10^2 \times 2$

= $44 \times 100$

= $\bold{4400\:cm^3}$

For Cuboid:

The length of the cuboid (L) = 10 cm

The breadth of the cuboid (B) = 11 cm

The height of the cuboid (H) = 14 cm

Therefore,

The volume of the cuboid is,

= $L \times B \times H$

= $10 \times 11\times 14$

= $\bold{1540\:cm^3}$

Comparison of volumes:

∵ 4400 cm³ > 1540 cm³

∴ Volume of Cylinder > Volume of cuboid

Thus, the volume of the cylinder is more than the volume of the cuboid.

#SPJ3

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