Question

The circumference of the base of a cylindrical vessel is 220 cm and height is 35 cm. How many litres of water can it hold ?

Answer 1

Answer:

134.75 litres of water it can hold.

Step-by-step explanation:

To find the volume of cylindrical vessel,we have radius and height.

Height h = 35 cm

Radius r = ?

Radius has to be calculated by circumference of the base.

circumference of the base of a cylindrical vessel is 220 cm, as base is circular in shape

$2\pi \: r = 220 \\ \\ r = \frac{220}{2 \times \pi} \\ \\ r = \frac{220 \times 7}{2 \times 22} \\ \\ r = 35 \: cm$

Volume of Cylinder

$= \pi \: {r}^{2} \: h \\ \\ = \frac{22}{7} \times 35 \times 35 \times 35 \\ \\ = 22 \times 5 \times 35 \times 35 \\ \\ = 134750 \: {cm}^{3}$

Volume of Cylinder in meter-cube

$= \frac{134750}{1000000} \\ \\ = 0.1347 \: {m}^{3}$

As we know that

$1 \: {m}^{3} = 1000 \: litres$

So, 0.13475 m^3 = 0.13475 × 1000

= 134.75 litres

Hope it helps you.

Answer 2

Answer:

134.75 litres of water it can hold.

Step-by-step explanation:

To find the volume of cylindrical vessel,we have radius and height.

Height h = 35 cm

Radius r = ?

Radius has to be calculated by circumference of the base.

circumference of the base of a cylindrical vessel is 220 cm, as base is circular in shape

\begin{gathered}2\pi \: r = 220 \\ \\ r = \frac{220}{2 \times \pi} \\ \\ r = \frac{220 \times 7}{2 \times 22} \\ \\ r = 35 \: cm \\ \\ \end{gathered}

2πr=220

r=

2×π

220

r=

2×22

220×7

r=35cm

Volume of Cylinder

\begin{gathered} = \pi \: {r}^{2} \: h \\ \\ = \frac{22}{7} \times 35 \times 35 \times 35 \\ \\ = 22 \times 5 \times 35 \times 35 \\ \\ = 134750 \: {cm}^{3} \\ \\ \end{gathered}

=πr

2

h

=

7

22

×35×35×35

=22×5×35×35

=134750cm

3

Volume of Cylinder in meter-cube

\begin{gathered} = \frac{134750}{1000000} \\ \\ = 0.1347 \: {m}^{3} \\ \\ \end{gathered}

=

1000000

134750

=0.1347m

3

As we know that

\begin{gathered}1 \: {m}^{3} = 1000 \: litres \\ \\ \end{gathered}

1m

3

=1000litres

So, 0.13475 m^3 = 0.13475 × 1000

= 134.75 litres

Hope it helps you.

Step-by-step explanation:

134.75 litres of water it can hold.

Step-by-step explanation:

To find the volume of cylindrical vessel,we have radius and height.

Height h = 35 cm

Radius r = ?

Radius has to be calculated by circumference of the base.

circumference of the base of a cylindrical vessel is 220 cm, as base is circular in shape

\begin{gathered}2\pi \: r = 220 \\ \\ r = \frac{220}{2 \times \pi} \\ \\ r = \frac{220 \times 7}{2 \times 22} \\ \\ r = 35 \: cm \\ \\ \end{gathered}

2πr=220

r=

2×π

220

r=

2×22

220×7

r=35cm

Volume of Cylinder

\begin{gathered} = \pi \: {r}^{2} \: h \\ \\ = \frac{22}{7} \times 35 \times 35 \times 35 \\ \\ = 22 \times 5 \times 35 \times 35 \\ \\ = 134750 \: {cm}^{3} \\ \\ \end{gathered}

=πr

2

h

=

7

22

×35×35×35

=22×5×35×35

=134750cm

3

Volume of Cylinder in meter-cube

\begin{gathered} = \frac{134750}{1000000} \\ \\ = 0.1347 \: {m}^{3} \\ \\ \end{gathered}

=

1000000

134750

=0.1347m

3

As we know that

\begin{gathered}1 \: {m}^{3} = 1000 \: litres \\ \\ \end{gathered}

1m

3

=1000litres

So, 0.13475 m^3 = 0.13475 × 1000

= 134.75 litres

Hope it helps you.