Math, asked by Sundararaj1145, 11 months ago

A cylindrical tank has a capacity 9240cm ^3if its depth is 15 cm then find its diameter

Answers

Answered by brainlyaryan12

6

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✪ $\huge{\red{\underline{\overline{\mathbf{Question}}}}}$ ✪

→ A cylindrical tank has a capacity 9240 cm³ if its depth is 15 cm then find its diameter.

✪ $\huge{\green{\underline{\overline{\mathbf{Answer}}}}}$ ✪

⇒Given:

⇒Volume = 9240 cm³
⇒Height = 15 cm

⇒To Find:

⇒Diameter = ?

⇒Solution:-

Using Formula:

⇒ $\large{ \pi r^2 h = 9240}$

⇒ $\frac{22}{7}\times r^2 \times 15=9240$

⇒ $r^2=\frac{{\cancel{9240}}^{\large{28}}\times 7}{{\cancel{22}}\times {\cancel{15}}}$

⇒ $r^2=28\times 7$

⇒ $r=\sqrt{196}$

⇒ $\Large{\blue{\fbox{\orange{r=14\:cm}}}}$

⇒ $\huge{\pink{\overbrace{\underbrace{\red{D=28\;cm}}}}}$

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Formulas Used :-

Volume of Cylinder -
$\leadsto \large{\fbox{\pi r^2 h}}$

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Answered by BrainlyPopularman

12

Question :–

▪︎ A cylindrical tank has a capacity 9240cm³ if its depth is 15cm then find its diameter = ?

ANSWER :–

$\\ \longrightarrow \large \: \: { \pink { \boxed { \bold{ Diameter = 28 \: cm}}}} \\$

GIVEN :–

• Volume of cylindrical tank = 9240 cm³

• Depth (Height) = 15 cm

TO FIND :–

• Diameter of cylindrical tank = ?

SOLUTION :–

▪︎ We know that Volume of cylinder is –

$\\ \implies { \red{ \boxed{ \bold{volume \: \: of \: \: cylinder \: =\pi {r}^{2}h }}}} \\$

▪︎ Here –

$\\ { \bold{ \: \: \: \: \: \: \: \: \: \: . \: \: \: r \: = radius \: }} \\$

$\\ { \bold{ \: \: \: \: \: \: \: \: \: \: . \: \: \: h\: = Height \: \: of \: \: Cylinder \: }} \\$

▪︎ Now put the values –

$\\ \implies { \bold{volume \: \: of \: \: cylinder \: =\pi {r}^{2}h }} \\$

$\\ \implies { \bold{9240 = \dfrac{22}{7} ({r}^{2})(15) }} \\$

$\\ \implies { \bold{ {r}^{2} = \frac{9240 \times 7}{22 \times 15} }} \\$

$\\ \implies { \bold{ {r}^{2} = \cancel \frac{64680}{330} }} \\$

$\\ \implies { \bold{ {r}^{2} =196 }} \\$

$\\ \implies { \bold{ r = \sqrt{196} }} \\$

$\\ \implies { \bold{ r = 14 \: cm }} \\$

$\\ \longrightarrow { \red{ \bold{ Diameter = 2 \times radius }}} \\$

$\\ \implies { \bold{ Diameter = 2 \times 14}} \\$

$\\ \implies { \boxed{ \bold{ Diameter = 28 \: cm}}} \\$

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