Answer : square root of x - 5 ,
the answer the the last option choice.
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
Answer:
Using the slope-intercept form, the slope is 4 .
Answer:
The area of the circle with a 3-inch diameter is 7.07 square inches.
Step-by-step explanation:
The formula for the area of a circle is
A = πr²
If you are given diameter, take half of that to get the radius: 3 ÷ 2 = 1.5
Then take the radius, 1.5 and square it (multiply by itself) 1.5 × 1.5 = 2.25
Then multiply r² times pi. You can use 3.14. (sometimes you will need 3.14159)
2.25 × 3.14 = 7.065
Your instructions are to "round to the nearest hundredth" so you look to the thousandth place and see a 5. Rules fro rounding: "If the number is 5 or higher, add 1 to the place you are rounding to. If 4 or less, leave the place as it is."
You see a 6 in the hundredths place. Add 1. so the rounded answer is 7.07.
Then you put in the units measure. Inches are given, so the Area will be square inches
7.07 in²
