Answer:
a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters
b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters
Step-by-step explanation:
a) We are assuming that the shape of the bacteria is a sphere.
Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the volume should be in cubic centimeters
Converting 0.75μm to centimeters
1 μm = 1 × 10^-4 cm
0.75 μm =
Cross Multiply
= 0.75 μm × 1 × 10^-4 cm/ 1 μm
= 0.000075cm
Volume of the Sphere(Bacteria) = 4/3 × π × r³
= 4/3 × π × (0.000075)³
= 1.767145867 × 10^-12 cm³
Approximately as 2 significant figures = 1.8 × 10^-12 cm³
b) The formula for the Surface area of a Sphere = 4πr²
Diameter = 1.5 μm
Radius = Diameter/2 = 1.5μm/2
= 0.75μm
We are told that the surface area should be in square millimeters
Converting 0.75μm to millimeters
1 μm = 0.001 mm
0.75 μm =
Cross Multiply
= 0.75 μm ×0.001mm/ 1 μm
= 0.00075mm
Surface Area of a Sphere
= 4 × π × r²
= 4 × π × 0.00075²
= 7.06858 ×10^-6 mm²
Approximately to 2 significant figures
= 7.1 × 10^-6 mm²
<u>Given</u>:
Given that the surface area of the cone is 54 square inches.
We need to determine the surface area of the cone that is similar to the cone three times large.
<u>Surface area of the similar cone:</u>
Let us determine the surface area of the similar cone.
The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.
Thus, we have;
Thus, the surface area of the similar cone is 162 square inches.
Answer: T = 4
Step-by-step explanation:
1. Write all the variables down
P = 8 V = 2X N = 2 R = 2X X = 3
2. Since you know that X = 3 substitute it in to find V and R
V = 2X = 2(3) = 6
R = 2X = 2(3) = 6
3. Find PV
PV = P x V
= 8 x 6
= 48
4. Find NRT
NRT = N x R x T
= 2 x 6 x T
= 12 x T
= 12T
5. Find T
PV = NRT
48 = 12T
12T = 48
divide both sides by 12
T = 48 ÷ 12
T = 4
Answer:
Help you with what? their is nothing!
Answer:
The Answer to this equation Y = 32
Step-by-step explanation:
