Answer: the cylindrical bottle contains 141.39 centimeters ^3 of water
Step-by-step explanation:
The bottle has the shape of a cylinder. This means the volume of the bottle will be calculated using the formula for calculating the volume of a cylinder. Formula for calculating the volume of a cylinder is
V = πr^2h
Radius, r = diameter of the cylindrical water bottle /2 = 4/2 = 2 centimeters
Height of cylindrical water bottle, h = 15 centimeters
Volume of cylindrical water bottle, V = 3.142 × 2^2 × 15
= 188.52 centimeters ^3
If he filled the water bottle 3/4 full of water, this means that the current volume of the water bottle is 3/4 × it's original volume.
= 3/4 × 188.52 = 141.39 centimeters ^3
Answer:
86.28 ft²
Step-by-step explanation:
The figure given consists of a rectangle and a semicircle. The area of the figure = area of rectangle + area of semicircle
Area of rectangle =
Where,
l = 10 ft
w = 8 ft
Area of semicircle:
Area of semicircle = ½ of area of a circle = ½(πr²)
Where,
π = 3.14
r = ½ of 8 = 4 ft
Area of semi-circle = ½(3.14*4) = 6.28 ft²
Area of the figure = area of rectangle + area of semi-circle = 80 + 6.28 = 86.28 ft² (nearest hundredth)