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What is the radius of a hemisphere with a volume of 165\text{ cm}^3,165 cm 3 , to the nearest tenth of a centimeter?

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Answer:

4.3cm

Explanation:

the radius of the hemisphere can be determined its volume

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

(2/3) x (22/7) x( r^3) = 165 cm^3

44/21 x r^3 = 165

divide both sides of the equation by 21/44

165 x 21/44

r^3 = 78.75

find the cube root

r = 4.2863 cm

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the 100th terms, 8 is greater than 6, so add 1 to 2. this give 4.3cm

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