Question

How much water will a tank hold if the interior diameter of the tank is 1.6m and its depth is 0.7
(1)138.6c cm
(2)1408litre
(3)34650c cm ​

Answer 1

Given:

• Diameter of the tank = 1.6m
• Height of the tank = 0.7m

To find:

• Volume of tank
• Amount of water the tank holds.

Solution:

As we know that diameter of the tank is 1.6m, radius of the tank will be:

⠀⠀⠀⠀⠀⠀⇒r = d/2

⠀⠀⠀⠀⠀⠀⇒r = 1.6/2

⠀⠀⠀⠀⠀⠀⇒r = 0.8m

Height of the tank is 0.7m. Now, we know that tank will be in a cylindrical shape.

By using Volume of cylinder formula, we have:

⠀⠀⠀⠀⠀⠀⇒V = πr²h

⠀⠀⠀⠀⠀⠀⇒V = 22/7×(0.8)²×0.7

⠀⠀⠀⠀⠀⠀⇒V = 22×0.64×0.1

⠀⠀⠀⠀⠀⠀⇒V = 1.408m³

Therefore, Volume of tank = 1.408m³.

Amount of water it holds for:

⠀⠀⠀⠀⠀⠀⇒1m³ = 1000L

Amount of water it holds for 1.408m:

⠀⠀⠀⠀⠀⠀ ⇒1.408m³= 1.408×1000

⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀ = 1408L

Therefore, Amount of water the tank holds is 1408.

Answer 2

$\huge\large \bold{Question}$

How much water will a tank hold if the interior diameter of the tank is 1.6m and its depth is 0.7

(1)138.6 cm

(2)1408 litre

(3)34650cm

$\huge \large \bold{Required \: Answer}$

${ \green{ \fbox{ \pink{Given}}}}$

• Diameter of the tank = 1.6 m
• Height of the tank = 0.7 m

${ \green{ \fbox{ \pink{To \: Find}}}}$

• Volume of tank
• Amount of water the tank holds

${ \green{ \fbox{ \pink{Solution}}}}$

As we know that diameter of the tank is 1.6m, Radius of the tank will be

$\pink \rightarrow \sf r = \frac{d}{n} \: \: \: \: \{d = diameter \}$

$\pink \rightarrow \sf r = \frac{1.6}{2} = 0.8m \: \: \: \: \: \{radius\}$

Height of the tank is 0.7m.

We know that the tank will be in Cylindrical shape.

${ \green{ \fbox{ \pink{Formula used}}}}$

$\pink \rightarrow \sf v = \pi {r}^{2} h$

$\pink\rightarrow \sf v = \frac{22}{7} \times (0.8 {)}^{2} \times 0.7$

$\small\pink \rightarrow \sf v = 22 \times 0.64 \times 0.1 = 1.408 {m}^{3}$

∴Volume of tank = 1.408m^3

Amount of water it holds for 1m^3 = 1000 L

Amount of water it holds for 1.408m

=> 1.408m^3 = 1.408 × 1000 = 1408L

∴Amount of water the tank holds is 1408L

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