Given:
Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm
Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³
Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³
<span>3p - 6 > 21 <=> 3p > 21+6 <=> 3p > 27 <=> p > 27/3 <=> p > 9. So the answer is B. When solving inequalities the idea is to move the terms which contain the unknown quantity to one side and the rest of the terms to the other side. And then perform valid mathematical operations to find the interval value for the unknown quantity.</span>
Answer:
Step-by-step explanation:
The <u>width</u> of a square is its <u>side length</u>.
The <u>width</u> of a circle is its <u>diameter</u>.
Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.
<u>Formulas</u>
If the diameter is equal to the side length of the square, then:
Therefore:
So the ratio of the area of the circle to the original square is:
Given:
- side length (s) = 6 in
- radius (r) = 6 ÷ 2 = 3 in
Ratio of circle to square:
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
Answer:
1.315%
Step-by-step explanation:
Given:
Prices:
Year 1 =old price =$95
Year 2 = new price = $96.25
The inflation rate is the difference in price between two Given period :
Inflation rate :
(Change in price / old price) * 100%
((New price - old price) / old price) * 100%
((96.25 - 95) / 96) * 100%
= (1.25 / 95) * 100%
= 0.0131578 * 100%
= 1.315%
