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zlopas [31]
3 years ago
14

The volume V of a sphere with radius R is given by formula V=4/3 x 3.14 x r^3

Mathematics
1 answer:
Olin [163]3 years ago
5 0
36(3.14) = 4/3 x 3.14 x r^3
113.04 = 4.187(r^3)
113.04/4.187 = r^3
26.997 = r^3
3√26.997 = r
r = ~3

Check: 3^3(\pi)(4/3) = 27(3.14)(4/3) = 113.04
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Step-by-step explanation:

-2.5 × -20

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-2.5 × -20

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hoa [83]

Answer:

Part 1) x=16\ units

Part 2) x=23\ units

Part 3) AE=20\ units

Part 4) x= 6.25\ units

Part 5) x=26.67\ in

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

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In this problem

\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units

Part 3) we know that

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the ratio of their corresponding sides are equal

so

In this problem

\frac{AB}{CD}=\frac{AE}{ED}

substitute the values

\frac{10}{4}=\frac{2x+10}{x+3}

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2.5x+7.5=2x+10

2.5x-2x=10-7.5

0.5x=2.5

x=5\ units

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Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in



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