What is the volume of a cone with diameter 21 m and height 4 m?
1 answer:
For this case we have by definition, that the volume of a cone is given by:
Where:
A: It is the cone radius
h: It's the height
They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:
.
Finally, the volume of the cube is
ANswer:
Option B
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Answer:
Step-by-step explanation:
Given
Required
Find XY
Represent BC and XY as a ratio;
Recall that:
Equate both ratios;
Convert to fractions
Cross Multiply
Divide through by 3
Hence:
Answer:
Area of Shaded Region = (25π - 24) cm²
Step-by-step explanation:
See attachment
From the attached, the following observations are made;
Radius, r = 5cm
Base of triangles = 6cm.
Required
Area of shaded region.
If the distance between the base of the triangle to the outline of the circle is 1cm then the height of the triangle is 1cm less than the radius
Height = 5cm - 1cm
Height = 4cm
To calculate the area of the shaded region, we first calculate the area of the circle.
Area = πr²
Substitute 5 for r
Area = π * 5²
Area = π * 25
Area = 25π cm²
Then we calculate the area of both triangles
Area of 1 triangle is calculated as follows.
Area = ½ * base * height
Substitute 4 for height and 6 for base.
Area = ½ * 4 * 6
Area = 2 * 6
Area = 12cm²
Since both triangles are equal.
Area of two triangles = 2 * Area of 1 triangle
Area = 2 * 12cm²
Area = 24cm²
Having calculated the area of the circle and that of both triangles.
Area of shaded region = Area of Circle - Area of Triangles
Area of Shaded Region = 25π cm² - 24 cm²
Area of Shaded Region = (25π - 24) cm²
Answer:
The expected amount earned by a waitress per evening is $95.83.
Step-by-step explanation:
At a local restaurant there are six rooms total; 1 is a "high roller" room and other 5 are normal rooms.
There are 6 waitresses working at the local restaurant.
The room assignments are made by fair random selection such that each waitress has an equal probability of being in the "high roller" room.
This implies that a waitress can be assigned any of the six rooms with probability, .
The tip earned by the waitress working in the "high roller" room is $200 and that for other rooms is $75.
So, the distribution of tips earned is as follows:
X: $200 $75 $75 $75 $75 $75
P (X):
The expected value of a random variable is given by:
Compute the expected amount earned by a waitress per evening as follows:
Thus, the expected amount earned by a waitress per evening is $95.83.