Answer:
see explanation
Step-by-step explanation:
Using the ratio equality for circles
=
(a)
Note the angle at the centre of the shaded arc is 360° - 90° = 270°, thus
=
=
( cross- multiply )
3C = 180 ( divide both sides by 3 )
C = 60 mm
(b)
Note the angle at the centre of the shaded arc is 360° - 135° = 225°, thus
=
( cross- multiply )
225C = 1188 ( divide both sides by 225 )
C = 5.28 cm
Answer:
The volume of the cone is 100.48 units³ approximately
Step-by-step explanation:
To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;
first, write down the formula for calculating the volume of a cone
v= πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given, diameter d = 8 units but d=2r which implies r=d/2
r=8/2 = 4 units
Hence r= 4 units
height = 6 units
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
v= πr²
v ≈ 3.14 × 4² × 6/3
v ≈ 3.14 × 16 × 2
v ≈ 100 .48 units³
Therefore the volume of the cone is 100 .48 units³ approximately
Answer:
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5) = 0.0768
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Mean of the Population (μ) = 2500 gallons
Standard deviation of the population (σ) =200 gallons
Let 'X' be a random variable in Normal distribution
Given X = 2800
<u><em>Step(ii):-</em></u>
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5)
= 0.5 - A(Z₁)
= 0.5 - A(1.5)
= 0.5 -0.4232 ( from normal table)
= 0.0768
<u><em>Conclusion</em></u>:-
The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month
P(X≥ 2800) = P(Z₁≥1.5) = 0.0768