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lesya692 [45]
3 years ago
8

A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer:

523.3 cubic inches

Step-by-step explanation:

A basketball has a diameter of 10 in. Using = 3.14, what is the approximate volume of the basketball in cubic inches?

The shape of a basketball is spherical.

Hence:

The volume of a basketball = 4/3 × π × r³

From the question,

π = 3.14

r = radius = Diameter/2

r = 10 in/2 = 5 in

Hence:

The volume of the basketball

= 4/3 × 3.14 × 5³

= 1570 ÷ 3

= 523.33333333 cubic inches

Therefore, the approximate volume of the basketball = 523.3 cubic inches

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Henry places £6000 in an account which pays 4.6% compound interest each year
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Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

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3 years ago
Which criterion can be used to prove ABC and ADC are congruent?
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3 years ago
You plan on supplementing your income. You would like to withdraw a monthly salary of $1,205.78 from an account paying 5.5% inte
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The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
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Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

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cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

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Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

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cross multiplying to find x will have

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