Answer:
Surface area = 1808.64in² and volume is 7234.56in³
Step-by-step explanation:
The figure above is a sphere, and it has a diameter of 24in
Radius = ?
Radius = diameter / 2
R = 24 / 2
R = 12in
Surface area of of sphere = 4πr²
Volume of a sphere = 4/3 πr³
π = 3.14
1. Surface area = 4 * 3.14 * 12²
Surface area = 4 * 3.14 * 144
Surface area = 1808.64in²
2. Volume of the sphere = 4/3πr³
Volume = 4/3 * 3.14 * 12³
Volume = 4/3 * 3.14 * 1728
Volume = 7234.56in³
The surface area of the sphere is 1808.64in² and the volume is 7234
56in³
Volume is a three-dimensional scalar quantity. The volume of the water that Marry should pour into the vase is 241.28 cubic inches.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the radius of the flower vase is 4 inches, while the height of the vase is 6 inches, therefore, the total volume of the vase is,
Volume = πR²×H = π× 4²×6 = 301.6 in³
Since the volume of the vase is 301.6 in³, but the store has told her to fill the vase 4/5 of its capacity, therefore, the volume of water Marry should pour is,
Volume of water = (4/5) × 301.6 in³ = 241.28 cubic inches
Hence, the volume of the water that Marry should pour into the vase is 241.28 cubic inches.
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To approximate the P(x<27) we need to find the z-score of the data, this will be given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
x=27, μ=32, σ=4
z=(27-32)/4
z=-5/4
z=-1.25
thus
P(x<27)=P(z<-1.25)
=0.1056
=10.56%
Answer: 10.56%
Answer:
5x²+15xy
Step-by-step explanation:
5x(x+3y)=
5x²+15xy
If you need more steps or more explanation, reply to this answer.
The length of each of the equal sides is become x = (3y-4) cm
According to the statement
we have given that the perimeter of the isosceles triangle and length of third side. and we have to find the length of same side of triangle.
So,
An isosceles triangle is a triangle that has two sides of equal length.
Let the equal sides of isosceles triangle be x cm each.
We know that the
Sum of sides of a triangle = perimeter
x+x+(3y-7) = 9y-15
2x = 9y-3y-15+7
After solving the equation it become
2x= 6y-8
x=(6y-8)/2
Now the length of equal sides is x=3y-4
So, The length of each of the equal sides is become x = (3y-4) cm
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