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Mnenie [13.5K]
3 years ago
11

A cone has a radius of 10 cm and and height of 9 cm. What is the approximate volume of the cone? Use 3.14 for π.

Mathematics
1 answer:
astraxan [27]3 years ago
8 0

Answer:

The volume of the cone is 942cm^3

Step-by-step explanation:

The given cone has a radius of 10 cm and and height of 9 cm.

The volume of a cone is given by:

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

We substitute r=10 and h=9 ,  \pi=3.14 to obtain:

V=\frac{3.14*10^2*9}{3}

Simplify exponents to get:

V=\frac{3.14*100*9}{3}

Simplify:

V=314*3\\V=942cm^3

Therefore the volume of the cone is 942cm^3

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Find the length of MP. round to the nearest hundredth.
lozanna [386]

Answer:

<h2>MP ≈ 2.98 cm</h2>

Step-by-step explanation:

Use sine:

sine=\dfrac{opposite}{hypotenuse}

We have:

opposite=MP\\hypotenuse=8.7\ cm\\\alpha=20^o\\\\\sin20^o\approx0.342

Substitute:

\dfrac{MP}{8.7}=0.342

\dfrac{MP}{8.7}=\dfrac{342}{1,000}              <em>cross multiply</em>

1,000MP=2975.4             <em>divide both sides by 1,000</em>

MP=2.9754\to MP\approx2.98

6 0
3 years ago
The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.
natima [27]
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
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PROOF:
2*18+2*6=48
36+12=48
48=48

Hope this helps:)
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3 years ago
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MissTica

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Answer:

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