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3 years ago

A cylinder, cone, and sphere are show below. The three figures have the same radius. If the radius is 3, what is each volume?

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

cylinder = 27π

cone = 9π

sphere = 36π

Step-by-step explanation:

volume of a cylinder = πr²h where r = radius and h = height

height of cylinder (h) = 3 and radius (r) = 3

so volume = π(3)²3

==> simplify exponent

volume = π9(3)

==> multiply 9 and 3

volume of cylinder = 27π

Volume of a cone = πr²(h/3) where r = radius and h = height

height of cone (h) = 3 and radius (r) = 3

so volume = π(3)²(3/3)

==> simplify exponent

volume = π9(3/3)

==> divide 3 by 3

volume = π9(1)

==> multiply 9 and 1

volume of cone = 9π

volume of a sphere = 4/3πr³ where r = radius

radius = 3

so volume = 4/3π(3)³

==> simplify exponent

volume = 4/3π27

==> multiply 4/3 and 27

volume of sphere = 36π

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Let d be the difference in proportions from Country X and Country Y who were first married between the ages of 18 and 32.

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$H_{a}$ : d<0.15

Test statistic can be found using the equation

$z=\frac{p1-p2-0.15}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

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p2 is the sample proportion of Country Y (0.26)

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n2 is the sample size of adults from Country Y (50)

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