Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer: C≈53.41cm
If rounded the answer is C=50.00
HOPE THIS HELPS
Answer:2^7 ≠ 7^2
Step-by-step explanation:
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2
The only factor is 2
7^2 = 7 * 7
The only factor is 7
Comparing the factors when written as a repeated multiplication,
2^7 and 7^2 have no common factor :
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128
7^2 = 7 * 7 = 49
So we know that the bag has total 15 cookies, and 1 cookie that does not have any raisin. Finally, the probability that one cookie won't have any raisin is 1/15 or 7 percent. Hope it help!
The radius of the circle exists approximately 4.95 feet.
<h3>How to estimate the radius of the circle?</h3>
Given the area of the square as A = 98 ft²
The side length of the square choice is equivalent to the diameter of the circle.
First, we must obtain the length of the square.
Area of a square 
98 = L²
L = √98
L = 9.89 ft
Thus the diameter of the circle exists at 9.89 ft
radius = diameter/2
radius = 9.89/2
radius ≈ 4.95 feet
Therefore the radius of the circle exists approximately 4.95 feet.
To learn more about the radius of circle refer to:
brainly.com/question/19568457
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