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.
9514 1404 393
Answer:
Step-by-step explanation:
We need x first.
AB = DE
12 = 3x -3
4 = x -1 . . . . . divide by 3
5 = x
Now, we can find y.
∠C = ∠F
7x +y = 55
y = 55 -7x = 55 -7(5)
y = 20
Inverse property of addition
Answer:
K = 12
Step-by-step explanation:
10 Cos 30° – 3 Tan 60°
The above expression can be simplified as follow:
10 Cos 30° – 3 Tan 60°
Recall:
Cos 30° = √3/2
Tan 60° = √3
Therefore,
10 Cos 30° – 3 Tan 60°
10 (√3/2) – 3(√3)
5√3 – 3√3
(5 – 3) √3
2√3
To write the above expression 2√3 in the form √K, we simply do the following:
2√3
Find a number, such that the square root of the number will result to 2. The number is 4 as shown below
√4 = 2
Next, replace 2 with √4 in the expression above
2√3
= √4 × √3
= √(4 × 3)
= √12
Therefore,
2√3 = √12
Comparing √12 with √K,
√12 = √K
K = 12
