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bagirrra123 [75]
3 years ago
9

A cylindrical swimming pool has a diameter of 14 feet and a height of 5 feet. How many gallons of water can the pool contain? Ro

und your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)

Mathematics
1 answer:
Vinvika [58]3 years ago
8 0
The volume of a cylinder is pi*height*radius^2 = pi*5*(14/2)^2 = 769.69 ft^3. To get the total gallons multiply 769.69 ft^3 by 7.5gal/ft^3 to get 5772.6765 gallons or 5773 gallons rounded to nearest whole number.
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3 years ago
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Fiesta28 [93]

We have to find the expansion of (3a+4b)^{8}

We will use binomial expansion to expand the given expression, which states that the expression (a+b)^{n} is expanded as :

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Now expanding (3a+4b)^{8} we get,

(3a+4b)^{8}=^{8}C_{0}(3a)^{8}+^{8}C_{1}(3a)^{7}(4b)+^{8}C_{2}(3a)^{6}(4b)^{2}+^{8}C_{3}(3a)^{5}(4b)^{3}+^{8}C_{4}(3a)^{4}(4b)^{4}+^{8}C_{5}(3a)^{3}(4b)^{5}+^{8}C_{6}(3a)^{2}(4b)^{6}+^{8}C_{7}(3a)(4b)^{7}+^{8}C_{8}(4b)^{8}

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So, the variables are a^{5}b^{3} , b^{8} , a^{4}b^{4} , a^{8}  , [tex] ab^{7}

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