Question

If length of diameter of base of glass is 11.2 cm .and height is 15 cm., let us calculate the volume of water that the glass will contain.

Answer 1

Question:

If length of diameter of base of glass is 11.2 cm .and height is 15 cm, let us calculate the volume of water that the glass will contain.

To find:

$\star \: Volume \: of \: the \: glass$

Answer:

$Volume \: of \: the \: glass \: is \: \underline{ \: \sf \pink{\bold{1478.4 {cm}^{3} }} \: }$

Given:

$\star \: Diameter \: of \: the \: glass = 11.2cm$

$\bigstar \: Radius \: of \: the \: glass = \underline{ \: 5.6cm \: }$

We know that, Diameter = 2 × radius

$\star \: Height \: of \: the \: glass = 15cm$

Step-by-step explanation:

We know that, Glass is in cylindrical shape .

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

$The \: value \: of \: \underline{ \: \bold{\pi \: is \: \frac{22}{7}} \: }$

$\implies \frac{22}{7} \times {(5.6)}^{2} \times 15$

$\implies \frac{22 \times 31.36 \times 15}{7}$

$\implies \frac{31.36 \times 330}{7}$

$\implies \frac{10348.8}{7}$

$\implies \boxed{1478.4 {cm}^{3} }$

$\therefore Volume \: of \: the \: glass \: is \: \underline{ \: \bold{1478.4 {cm}^{3} } \: }$

Formula used:

$\bigstar Volume \: of \: the \: cylinder = \pi {r}^{2} h$

$Where,$

$r \: is \: radius$

$h \: is \: height$

More information:

$\bigstar C.S.A \: of \: cylinder \: is \: 2\pi rh$

$\bigstar T.S.A \: of \: cylinder \: is \: 2\pi r(h + r)$

★ Cylinder is a three dimensional shape.

★ The bases are usually circular in shape.