Answer:
Hence the new height is 3 times the original height .(h1=3h)
Step-by-step explanation:
Given:
A cone with has height and base with radius r .
To Find:
What is new height
Solution:
Consider as cone with height h base radius r, and volume v
Here given that only height changes for the cone i.e. r remains the unchanged or same or constant
The volume for a regular cone is given by ,
Here V is directly proportional to h i.ee pie ,3 and r being constant
i.e V/h=constant
V1 and h1 are new dimensions for new cone
V/h=V1/h1
Here V1=3V
So V/h=3V/h1
1/h=3/h1
i.e h1=3h
Hence the height is 3 times the original height .
Answer:
Step-by-step explanation:
a)area A=pi r^2
rate of change of area =dA/dt =2 pi r dr/dt
given dr/dt =25 ,r =50
rate of change of area =dA/dt =2 pi *50 *25 =2500pi=7854
area growing 7854 cm2/s
b)area A=pi r^2
rate of change of area =dA/dt =2 pi r dr/dt
given dr/dt =25 ,A =64
pi r^2 =64
=>r =8/√pi
rate of change of area =dA/dt =2 pi *(8/√pi) *25 =400√pi=708.98
area growing 708.98 cm2/s
Answer:
4.50 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite / hypotenuse
sin 40 = ? / 7
Multiply each side by 7
7 sin 40 = ?
4.499513268 = ?
To the nearest hundredth
4.50 = ?
In math (or English, for that matter), a question is never true or false. Only a statement can have such attributes.
If you make the statement "if A ate many sugar, A will get diabetes," in math it cannot be decided wheter it is true or false without additional information about the truth values of the statements "A ate many sugar" and "A will get diabetes".
