Answer:
625 cm³
Step-by-step explanation:
The level of coffee in the cup will be 4.5 cm less than the full 15 cm depth of the cup. Thus, we subtract 4.5 cm from 15 cm, obtaining 10.5 cm as the level of coffee.
The formula for the volume of a cylinder is V = πr²h, where r is the cylinder radius and h is the height (or depth, as the case is here).
Using h = 10.5 cm and r = 5 cm, we get:
V = π (5 cm)²·(10.5 cm),
or
V = π (25 cm²)(10.5 cm) = π(262 cm³) = 262π cm³.
This is approx. V = 825 cm³
Volume is a three-dimensional scalar quantity. The volume of the coffee in the cup of Victoria will be 824.668 centimeters³.
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given that cup is shaped like a cylinder with a radius of 5 centimetres and a height of 15 centimetres. Also, Victoria fills the cup with coffee, but she leaves 4.5 centimetres of space at the top. Therefore, the height of the coffee in the cup is,
Height of the coffee in the cup = 15 centimetres - 4.5 centimetres
= 11.5 centimeters
Further, the volume of the coffee in the cup of Victoria will be,
Volume = π × R² × H
= π × (5 centimetres)² × (11.5 centimeters)
= 262.5π centimeters³
= 824.668 centimeters³
Hence, the volume of the coffee in the cup of Victoria will be 824.668 centimeters³.
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