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Nadya [2.5K]
3 years ago
9

the volume of a sphere whose diameter is 18 centimeters is ? cubic centimeters. If its diameter were reduced by half its volume

would be ? of its original volume.
Mathematics
2 answers:
Ghella [55]3 years ago
7 0
A) The formula for the volume of a sphere in terms of its radius (half the diameter) is
V= \frac{4}{3}\pi r^{3}
For your 18 cm sphere, the volume is
V= \frac{4}{3}\pi(9 cm)^{3} = 972\pi \cdot cm^{3} \approx 3054 cm^{3}

B) If the diameter were reduced by half, the volume would be (\frac{1}{2})^{3}=\frac{1}{8} of the original volume.
hammer [34]3 years ago
3 0

Answer:

Step-by-step explanation:

Volume of sphere=\frac{4}{3}\pi r^3=\frac{4}{3}\pi \left (\frac{d}{2} \right )^3=\frac{1}{6}\pi d^3

Here diameter, d = 18 cm

Volume of sphere = =\frac{1}{6}\times \pi \times 18^3=3053.63cm^3

Let the volume of sphere be V.

When the diameter reduces to half, the volume be V'.

We have

         \frac{V}{V'}=\frac{\frac{1}{6}\pi d^3}{\frac{1}{6}\pi \left (\frac{d}{2} \right )^3}=\frac{8}{1}\\\\\frac{V}{V'}=8\\\\V'=\frac{V}{8}

When diameter were reduced by half the volume becomes \frac{1}{8} times of original volume.

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Large Number Calculations
pantera1 [17]

Answer:

19.2 kg

Step-by-step explanation:

Amount of Bananas consumed in US per year = 5.77 million metric tons

Since 1 million = 10^{6} and 1 metric ton = 1000 kg, we can write:

Amount of Bananas consumed in US per year = 5.77 \times 10^{6} metric tons

Amount of Bananas consumed in US per year = 5.77 \times 10^{6} \times 1000 = 5.77 \times 10^{9} kg

Number of people in US = 301 million = 301 \times 10^{6}= 3.01 \times 10^{8}

We have to find how many kilograms of bananas are consumed per person in 1 year in US. For this we have to divide the total amount of bananas eaten in US per year with total number of people in US, which will be:

\frac{5.77 \times 10^{9}}{3.01 \times 10^{8}} \\\\ = 19.2

This means, 19.2 kilograms of bananas are eaten in US per person in a year.

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3 years ago
18-22 evens please and show how to do the work
marta [7]
#18
Answer C
4*7 = 28 which is the most closest one to 27.8

#19
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175.33 feet = 2103. 96 in
2 ( 2103.96 +48)
2 * 2151.96
4303.92 inches

#20
L*W = A
2103.96 * 48
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8 0
3 years ago
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