A gardener purchases a ceramic planter, in the shape of a hemisphere, for a small batch of leftover annuals. The volume of a hemisphere is modeled by the function V = 2/3πr 3
<span>A. Write a model for the radius as a function of the volume. </span>
<span>B. The label on the planter says that it holds approximately 134 cubic inches of potting soil. What is the radius of the planter, rounded to the nearest inch? Use 3.14 for π </span>
<span>r = ∛[(3/2)V) / π] </span>
<span>134 = (2/3) (3/14) r^3 </span>
<span>r = ∛[(3/2) (134) / 3.14] ≈ 4.00 inches </span>
Answer: 49.09 cm2
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Circumference of a circle = π x diameter = 3.14159x 3 1/8 = 9.81746 in
The circumference of the can is equal to the length of the rectangular label:
Surface area (S)= circumference(length) x height
Replacing with the values given:
S = 9.81746 x 5 = 49.09 cm2
Feel free to ask for more if needed or if you did not understand something.
Answer:
A 1:6
Step-by-step explanation:
3:18 simply to 1:6
Answer:
27.3 dollars
Step-by-step explanation:
Answer: 5,499,187,200
<u>Step-by-step explanation:</u>
A coin is tossed 5 times.
There are two options (heads or tails) so the possible outcomes are: 2⁵
A six-sided die is rolled 4 times.
There are six options so the possible outcomes are: 6⁴
A group of 3 cards are drawn (without replacement).
The first outcome has 52 options, the second has 51 options, and the third has 50 options: 52 x 51 x 50
Now if we want the coin AND the die AND the cards, we have to multiply all of their possible outcomes:
2⁵ x 6⁴ x 52 x 51 x 50
= 32 x 1296 x 132,600
= 5,499,187,200
