Applying Volumes of spheres Please help me Urgent
8th grade math

1) A stadium is shaped like a hemisphere with a radius of 150 feet. Last month, the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. What was the total cost for utilities last month?

2) A sphere has a radius of 3 inches. A cylinder has a radius of 3 inches and a height of 6 inches. If the sphere is filled with water and is poured into the cylinder, what will the height of water in the cylinder be?

3) Hugo has a cylindrical container that holds marbles. The container has a hight of 10 inches and radius of 5 inches. Each marble is shaped like a sphere with a radius of 1 inch. If there are 150 marbles in the container, how much empty space is the container?

4) Jasmine is decorating her Christmas tree with ornaments shaped like spheres. There are 35 ornaments total and each has a radius of 3 inches. If the ornaments are filled with glitter, how many total cubic inches of glitter are contained in the ornaments?

5) A sphere has a volume of 150 cubic inches. Find the volume of a cylinder and a cone that both have the same radius and the same height as the sphere.

Cylinder:

Cone:

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.