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VLD [36.1K]
3 years ago
10

A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for Pi. Round the answer to two d

ecimal places.) 32.71 Inches cubed 65.42 Inches cubed 196.25 Inches cubed 588.75 Inches cubed
Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0

Answer:

32.71 Inches cubed

Step-by-step explanation:

Let's recall the volume of the cone to be = 1/3πr³h

So using the formula.

r= 5

h = 2.5

I = 3.14

Volume = 1/3 * 3.14 * 5³ * 2.5

Volume = 327.1 in³

Stells [14]3 years ago
6 0

Answer:

V =\frac{1}{3} \pi r^2 h

And replacing we got:

V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3

And the best option would be:

65.42 Inches cubed

Step-by-step explanation:

For this case we have the following info given:

h =2.5 in represent the height of the cone

r = 5 in represent the radius

And the volume of the cone is given by;

V =\frac{1}{3} \pi r^2 h

And replacing we got:

V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3

And the best option would be:

65.42 Inches cubed

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A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row
wolverine [178]

Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S_{n} = \frac{n}{2} (a + l), where

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  • n is the number of the terms

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S_{n} = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = \frac{n}{2}(26 + 150)

∴ 2,816 = \frac{n}{2}(176)

∴ 2,816 = 88n

→ Divide both sides by 88

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∴ The theater has 32 rows

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3 years ago
Please help me and we should use laws of exponents​
elena55 [62]

Answer:

3.b

(\frac{8}{3})^{2x+1} *(\frac{8}{3})^{5} =(\frac{8}{3}) ^{x+2}\\\\(\frac{8}{3})^{2x+1 +5} =(\frac{8}{3}) ^{x+2}\\\\\\2x +6 = x+2\\x = -4

i hope question 3.a. is 5^x ÷ 5^-3 = 5^5

3.a.

\frac{5^x}{5^{-3}} = 5^5\\\\5^ {x+3} = 5^5\\\\x+3 = 5\\x =2

6 0
3 years ago
Graph a line with a slope of -3 that contains the point (4, -2)
Crank

Answer:

Step-by-step explanation:

Given that

Slope m=-3

A point (x, y)=(4,-2)

Equation of a line can generally be written as

y=mx+c

Where, m is the slope

And c is the intercept on y-axis

Since we are given m=-3

Then, y=mx+c becomes

y=-3x+c

To get c, let substitute the point given, i.e x=4 and y=-2

y=-3x+c

-2=-3(4)+c

-2=-12+c

-2+12=c

c=-2+12

c=10

y=mx+c, then m=-3 and c=10

Then, the equation the line becomes y = -3x + 10

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3 years ago
Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
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A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
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