Respuesta :
Answer:
The volume of water bottle Francisco takes to school = 1.0048 liters
Step-by-step explanation:
The dimensions of the water bottle are given :
The Height of the water bottle is 20 cm
⇒ h = 20 cm
The Radius of the water bottle is 4 cm
⇒ r = 4 cm
⇒ Volume of the water bottle = π·r²·h
⇒ Volume = 3.14 × 4² × 20
⇒ Volume = 1004.8 cm³
Now, 1000 cm³ = 1 liter
⇒ 1004.8 cm³ = 1.0048 liter
Hence, The volume of water bottle Francisco takes to school = 1.0048 liters
Volume is a three-dimensional scalar quantity. The volume of the water in the bottle is 1 litre.
What is volume?
The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.
We know that the shape of a water bottle is a cylinder. And as it is given that the height of the water bottle is 20 cm while the radius of the water bottle is 4 cm. Therefore, the volume of the bottle can be written as,
The volume of water bottle = Volume of cylinder
[tex]\text{The volume of water bottle} = \pi r^2h[/tex]
[tex]= \pi \times 4^2 \times 20\\\\= 1005.3\rm\ cm^3[/tex]
Since the volume of the water bottle is 1005.3 cm³, therefore, the volume of the water bottle in litres can be written as,
[tex]\rm 1\ litre = 1000\ cm^3\\\\1005.3 = 1.005\approx 1\ litre[/tex]
Thus, the volume of the water in the bottle is 1 litre.
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