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:
x = -1
Step-by-step explanation:
Given: 
Solve for x, When: 
Step by step:
Answer:
x=y[base side of isosceles triangle]
x²+y²=19²
x=√{19²/2)}
x=13.44
y=13.44
Answer: 6 times
Step-by-step explanation:
Let the Length of the rectangle be L and the Width be W
Also , let us pick the Length as the longest side , then from the statement
L = 2W
The perimeter of a rectangle is given as :
P = 2 ( L + W )
substitute L = 2W into the formula , we have
P = 2 ( 2W + W )
P = 2 (3W)
P = 6W
Therefore the Perimeter is 6 times as long as the Width
Step-by-step explanation:
2a. The block of wood has the shape of a rectangular prism. The log has the shape of a cylinder.
2b. Density is mass divided by volume. We know the mass, but we need to find the volume.
Volume of a rectangular prism is:
V = whl
where w is the width, h is the height, and l is the length
V = (18)(10)(8)
V = 1440 in³
So the density is:
d = 46.65 lbs / 1440 in³
d = 0.0324 lb/in³
2c. Volume of a cylinder is:
V = πr²h
where r is radius and h is height.
The circumference is C = 2πr, so r = C / (2π).
r = 25.12 / (2*3.14)
r = 4.00
V = 3.14 (4.00)² (21)
V = 1055.04 in³
So the density is:
d = 39.25 lb / 1055.04 in³
d = 0.0372 lb/in³
2d. The block is less dense than water; the log is more dense than water. So he should make the boat out of the block.
