V = 1/3 x B x H
= B = L x W
= V = 1/3 (L x W) H
= V = 1/3 ( 7 x 3 ) 8
= V = 1/3 (21) 8
= V = 1/3 (168 )
= V = 168/3
= V = 56in
Volume = 56!
Answer:
The rate of change of the volume of the cylinder at that instant = 
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let
represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:

Volume of cylinder is given by:

Finding derivative of the Volume with respect to time.

Plugging in the values given:


Using 

(Answer)
Thus rate of change of the volume of the cylinder at that instant = 
Answer:
5/243
Step-by-step explanation:
4/18 × 6/18 × 5/18 = 5/243
I think
The probability of the arrow will land on a section labeled with the number greater than 3 is 
Step-by-step explanation:
Given,
The spinner is divided into 8 sections say named 1, 2, 3, 4, 5, 6, 7, 8
To find the P : probability of the arrow will land on a section labeled with the number greater than 3
Formula
<u>P = (the number of possible outcomes) ÷ ( the number of total result)</u>
We will count the probability when the arrow land on either 4 or 5 or 6 or 7 or 8 = 5 times
Total number of result = 8
Hence the probability = 
Answer:
original number is 18.07
Step-by-step explanation:
Let the original number be x
x - 17% of x = 15
x* (1 - 0.17) = 15
x * 0.83 = 15
x = 15/0.83
x = 18.072289156
Or if your wording meant 17% of a number is 15 then:
x * 17% = 15
x *0.17 = 15
x = 15/0.17 = 88.23529...
but I think you meant "decreased by 17%" so I choose x = 18.07