Question

calculate the radius of the base of a cylindrical container of volume (220mcube) the height of a cylindrical container is 70m​

Answer 1

AnswEr :

$\bullet\:\sf\ Volume \: of \: container = \bf\ 220m^{3}$

$\bullet\:\sf\ Height \: of \: container = \bf\ 70m$

$\bullet\:\sf\ We \: have \: to \: find \: \bf\ radius \: of \: base$

★ Simply, block the Available values(i.e. Height, Volume) to get the Radius in appropriate Formula.

$\rule{170}2$

✇ $\underline{\textrm{According \: to \: given \: in \: question:}}$

$\normalsize\star\: \:\blue{\boxed{\sf \pink{Volume \: of \: Cylinder = \pi r^2h}}}$

$\normalsize\twoheadrightarrow\sf\ 220 = \frac{22}{7} \times\ (r)^{2} \times\ 70$

$\normalsize\twoheadrightarrow\sf\ 220 = \frac{22}{\cancel{7}} \times\ (r)^{2} \times\ \cancel{70}$

$\normalsize\twoheadrightarrow\sf\ 220 = 22\times\ (r)^{2} \times\ 10$

$\normalsize\twoheadrightarrow\sf\ 220 = 220 \times\ (r)^{2}$

$\normalsize\twoheadrightarrow\sf\ r^{2} = \frac{\cancel{220}}{\cancel{220}}$

$\normalsize\twoheadrightarrow\sf\ (r)^{2} = 1$

$\normalsize\twoheadrightarrow\sf\ r = \sqrt{1}$

$\normalsize\twoheadrightarrow\sf\ r = 1$

$\therefore\:\underline{\textsf{Hence, \: the \: radius \: of \: container \: is}{\textbf{\: 1cm}}}$

Answer 2

Answer:

★ Radius is 1 cm ★

Step-by-step explanation:

Given:

• Volume of cylindrical container is 220 cm³
• Height of cylindrical container is 70 m

To Find :

• Radius of base of cylindrical container

Solution:

★ Volume of cylinder= πr²h ★

$\small\implies{\sf }$ 220 = πr²h

$\small\implies{\sf }$ 220 = 22/7 x (r)² x 70

$\small\implies{\sf }$ 220 = 1540/7 x (r)²

$\small\implies{\sf }$ 220 = 220 x (r)²

$\small\implies{\sf }$ 220/220 = r²

$\small\implies{\sf }$ 1 = r²

$\small\implies{\sf }$ √1 = r

$\small\implies{\sf }$ 1 cm = Radius

Hence, Base of radius of cylindrical container is 1 cm