Answer:
- 0.2 cm/s
Step-by-step explanation:
Volume of a cylinder = πr²l--------------------------------------------------------(1)
dV/dt =(dV /dr ) x (dr/dt) + (dV /dl ) x (dl/dt) ---------------------------------(2)
dV/dr = 2 πrl
dV/dl = πr²
dr/dt = Unknown
dl/dt = 0.1 cm/s
dV/dt = 0
From equation (1), the length of the cylinder can be calculated when r = 5cm
V = πr²L
100 = π (5)²L
L =100/25π
=4/π
To find the rate of radius change (dr/dt) we substitute known values into equation (2):
0 = 2 π (5) (4/π) x (dr/dt) + π(5)² x 0.1
0 = 40 (dr/dt) + 2.5π
40 (dr/dt) = -2.5π
dr/dt = -2.5π/40
= -0.1963 cm/s
≈ - 0.2 cm/s
The negative sign shows that the radius of the cylinder of constant volume decrease at a rate twice the length.
He answer is Positive 60 or 60+
Answer:
<MLJ and <NOQ
Step-by-step explanation:
Alternate exterior angles are angles that lie outside of the two parallel lines that are cut across by the transversal line, and are also alternating each other along the transversal
Considering the image and the options given, <MLJ and <NOQ are exterior angles that alternate each other. Therefore, they are alternate exterior angles.
The percent of 300 is 83.33%.
<h2>Percentage</h2>
The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Given
300 is 2+1/2 is an expression
<h3>To find </h3>
The percentage of a given function.
<h3>How to find the percentage of a given function?</h3>
Let x be the percent of 300.
300 is 2+1/2 is an expression that can be written as,
The percent of 300 is 83.33%.
More about the percentage link is given below.
brainly.com/question/8011401
