Question

cylinder A has diameter of 14 cm and height of 7 cm and cylinder B has diameter 7 cm and height 14 cm.without calculation tell volume of which cylinder is more? verify the answer by calculation​

Answer 1

Answer:

Cylinder 1 has more volume since its radius = it's height. However in cylinder 2, radius < height. Since radius square is directly proportional to volume and inversely proportional to height, Cylinder 1 has more volume.

Explanation:

Cylinder 1:

Volume =

=

$\pi {r}^{2} h$

=

$\frac{22}{7} \times 7 \times {7}^{2}$

=

$22 \times 49$

=

$1078 \: {cm}^{3}$

Cylinder 2:

Volume=

$\pi {r}^{2} h$

=

$\frac{22}{7} \times {(3.5)}^{2} \times 14$

=

$22 \times 12.25 \times 2$

=

=

${539 \: m}^{3}$