Answer:
= 18 cubic inches
Step-by-step explanation:
The volume of a cone is given by the formula;
V = 1/3 × base area × height
While that of cylinder is given by the formula;
Volume = Base area × height
Since we need the cylinder to fit exactly inside the cone, then it means that their bases are the same and heights are the same.
Therefore;
The cone has three times less volume compared to the cylinder.
Thus;
Volume of the cylinder = Volume of cone × 3
= 6 In³ × 3
<u>= 18 cubic inches</u>
To solve for the confidence interval for the population
mean mu, we can use the formula:
Confidence interval = x ± z * s / sqrt (n)
where x is the sample mean, s is the standard deviation,
and n is the sample size
At 95% confidence level, the value of z is equivalent to:
z = 1.96
Therefore substituting the given values into the
equation:
Confidence interval = 3 ± 1.96 * 5.8 / sqrt (51)
Confidence interval = 3 ± 1.59
Confidence interval = 1.41, 4.59
Therefore the population mean mu has an approximate range
or confidence interval from 1.41 kg to 4.59 kg.
Answer:
£320
Step-by-step explanation:
Using proportion,
If 110% = £352
100% = ?
= 
= £320
If the radius of the circle exists 2.4 kilometers and is intercepted by a central angle measuring 150° then the length of the arc exists 5π inches.
<h3>What was the relation between the
central angle and its
intercepted arc?</h3>
- If the vertex of an angle exists in the center of the circle and the two sides of the angle are radii in the circle, then this angle exists named a central angle.
- Each central angle exists subtended by the opposite arc, the name of the arc exists the starting point and the finish point of the angle.
- There exists a relation between the central angle and its subtended arc the measure of the central angle equals half the measure of its subtended arc.
- The length of the subtended arc relies on the measurement of its central angle and the length of the radius and the measure of the arc.
- The measurement of the circle exists at 360°.
- The length of the circle exists at 2πr.
The radius of the circle r = 2.4 kilometers
The measure of the central angle exists at 150°.
The length of the arc = central angle/360 × 2πr
The length of the arc = 150°/360° × 2 × π × 2.4 = 2π
The length of the arc exists 2π kilometers.
To learn more about arc length refer to:
brainly.com/question/11134371
#SPJ4
