The volume, surface area and the ratios of the SA to volume will be as follows:
Volume=πr²h
Area=2πr²+πdh
Ratio of SA to volume=Area/volume
π=3.14
Thus using the above formula:
1.
a]
Radius: 3 inches
Height: 2 inches
Volume=πr²h
volume=π×3²×2=56.52 in³
b]
Area=2πr²+πdh
2×π×3²+π×2×3×2
=56.55+37.68
=94.23 in²
c]
Ratio=area/volume
=94.23/56.52
=1.6672
1.
Radius: 2 inches
Height: 9 inches
a]
V=πr²h
V=3.14*2^2*9
V=113.04 in³
b]
Area=2πr²+πdh
=2*3.14*2^2+3.14*2*2*9
=25.12+113.04
=138.16 in²
c]
Ratio=area/volume
=138.16/113.04
=11/9
3.
Diameter=4 inches
Height= 9 inches
a]
V=πr²h
V=3.14×2²×9
V=113.04
b]
Area=2πr²+πdh
=2*3.14*2^2+3.14*4*9
=25.12+113.04
=138.16 in²
c]
Ratio=area/volume
=138.16/113.04
=11/9
4]
Diameter: 6 inches
Height: 4 inches
a]
Volume=πr²h
=3.14×3²×4
=113.04 in³
b]
Area=2πr²+πdh
=2×3.14×3²+3.14×6×4
=56.52+75.36
=131.88 in²
c] Ratio
131.88/113.04
=7/6
1. For the surface area to volume to be small it means that the area is smaller than the volume, for surface area to volume be larger it means that the surface area is larger than the volume. It is more economical for the surface area to volume to be small because it will mean that small amount of materials make cans with large volume. This means cost of production is cheaper.
2. To evaluate this process let's use one of the dimensions:
Radius: 3 inches
Height: 2 inches:
i. add radius and height:
3+2=5 inches
ii. Multiply radius and height:
3×2=6
iii. Dividing the result from step 1 by the result in step 2:
5/6
iv. Multiply the result from step 3 by 2:
5/6×6
=5
This result does not seem to add up to the result in our earlier ratio. Thus we conclude that Khianna was wrong. This method can't work with 3-D figures.
The number of the zeroes of the function will be 3. Then the zeroes of the functions are -2, 1, and 2.
<h3>What is a factorization?</h3>
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The equation is given below.
f(x) = x³ - x² - 4x + 4
Then the factor of the equation will be
f(x) = x²(x - 1) - 4(x - 1)
f(x) = (x² - 4)(x - 1)
f(x) = (x² - 2²)(x - 1)
f(x) = (x + 2)(x - 2)(x - 1)
Then the solution to the equation will be
(x + 2)(x - 2)(x - 1) = 0
x = -2, 1, 2
The number of the zeroes of the function will be 3. Then the zeroes of the functions are -2, 1, and 2.
More about the factorization link is given below.
brainly.com/question/6810544
#SPJ1
and
This means that Kayle found 10 eggs while Kevin found 5 eggs.
so 20-(10+5)= 5 eggs left.
To find the fraction, divide the number of eggs left over the number of total eggs.
Hope this helps!
Answer:
The inequality is
2 x - 6 > 6(x -2) +8
To solve the inequality we will first use distributive property with respect to multiplication over subtraction
And then bring constant on one side and variable on another side keeping the inequality maintained
2 x -6 > 6 x -12 + 8
2 x -6 > 6 x - 4
6 x - 2 x< -6+4
4 x < -2
Dividing both sides by 2
x < 
Now i will draw the graph of above function.
