Answer:
V = 19.19 cubic units
None of the options are correct.
Step-by-step explanation:
Volume of a cone is given as;
V = ⅓πr²h
Now, we are given;
diameter = 4 units
Thus radius;r = diameter/2 = 4/2 = 2 units
I have attached an image to show the diagram of the cone.
Now, to find the height (h), we know the radius(r) and we know the slant length(l) . So we can use Pythagoras theorem to find the height.
From Pythagoras theorem;
r² + h² = l²
Where l is the hypotenuse or the slant side while "r" is the radius of the cone while the height will be "h"
Thus;
2² + h² = 5²
h² = 5² - 2²
h² = 25 - 4
h² = 21
h = √21
h = 4.5826 units
So height (h) = 4.5826 units
Volume of cone;V = ⅓πr²h
We are told that π = 3.14
Thus;
V = ⅓ x 3.14 x 2² x 4.5826
V = 19.19 cubic units
Answer:
1. This means that the actual park size is 50 times larger than the size of the park on the map.
2. If a pathway is 7 inches long on the map, it will be 50 times larger in real life;
= 7 * 50
= 350 inches
3. 1 foot is 12 inches so 350 inches will be;
= 350/12
= 29.2 feet
4. The real life length of the car is;
= 5 * 67
= 335 inches
5. The real life length in feet is;
= 335/12
= 27.9 feet
6. Speed = Distance / time
The time should be converted to hours;
= 10/60 minutes
= 1/6
Speed = 9 / (1/6)
= 54 miles per hour
= 54 mph
I believe the answer would be B, since both situations give you 6 chances at drawing/rolling the right number/marble.
15 pounds / 35 sandwiches ~ 0.43 pounds ham per sandwich