Answer:

Step-by-step explanation:
We are given that

Side of base=4 cm
l=w=4 cm
Height,h=12 cm
We have to find the rate at which the water level rising when the water level is 4 cm.
Volume of pyramid=


Substitute the value

Differentiate w.r.t t

Substitute the values


Answer:
∫
= 
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let 
Differentiate both sides with respect to 

[use
]
So,
∫
= ∫
=
where
is a variable.
(Use ∫
)
Put 
∫
= 
Use 
So,
∫
= 
where 
Without using substitution:
∫
= ∫
= 
So, same answer is obtained in both the cases.
Oof this one is hard I think it’s 20 mm but I’m not sure
Answer:
1000 cm^3
Step-by-step explanation:
First, Find the side length of the cube. The surface area is all the area on the surface of a 3-dimensional object. Since a square has 6 congruent faces the formula for surface area is 6s^2 where s is the side length. Since we know the surface area we can solve for the side length.
600=6s^2- DIvide by 6
100=s^2- Take the square root of both sides.
10=s
The volume of a cube is s^3.
10^3=V
1000=V
Answer:
48
Step-by-step explanation: