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4vir4ik [10]
2 years ago
12

A cylindrical container has a radius of 0.3 meter and a height of 0.75 meter. The container is filled with kerosene. The density

of kerosene is 815 kg/m³. What is the mass of the kerosene in the container? Enter your answer in the box. Use 3.14 for π. Round your final answer to the nearest whole number.
Mathematics
1 answer:
saveliy_v [14]2 years ago
6 0

Answer:

172.83 kg

Step-by-step explanation:

A cylindrical container has a radius (r) of 0.3 meter and a height (h) of 0.75 meter and density of 815 kg/m³.

The density of a substance is the mass per unit volume, it is the ratio of the mass of a substance to the volume occupied. The density is given by the formula:

Density = Mass / volume

The volume of a cylinder is given as:

V = πr²h

V = π × (0.3)² × 0.75 = 0.212 m³

Density = Mass/ volume

Mass = Density × Volume

Mass = 815 kg/m³ × 0.212 m³

Mass = 172.83 kg

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The diagram shows a cuboid.<br> 4 cm<br> 5 cm<br> 9 cm<br> What is the surface area of the cuboid?
katrin2010 [14]

Answer:

202 cm^2

Step-by-step explanation:

SA = 2LW + 2LH + 2WH

SA = 2(4 cm)(5 cm) + 2(4 cm)(9 cm) + 2(5 cm)(9 cm)

SA = 40 cm^2 + 72 cm^2 + 90 cm^2

SA = 202 cm^2

6 0
2 years ago
3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?
Nonamiya [84]

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC<  AB+ BC =5+3=8 in

⇒AC<8 in

Also, the  difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore,  we can say  2< AC<8. Hence, AC can takes 3,4,5,6 values

4 0
3 years ago
A tanget is ____ to the radius that shares the point of tengency
Mazyrski [523]
I believe it is C hope it helps
8 0
3 years ago
What is the angle e in the triangle below? (Hint: Use an inverse trigonometric
yuradex [85]

Answer:

A

Step-by-step explanation:

sin θ=3/8

θ=sin ^{-1}(3/8)

≈22.02 °

5 0
2 years ago
Read 2 more answers
Aimee is in charge of buying tickets for a trip to the movies. She can buy tickets at the theater or online. At the theater, 8 t
inessss [21]

Answer:

Aimee can save $24 by buying tickets at the lower price that is at the theater.

Step-by-step explanation:

First, you need to find the amount she would spent by buying tickets at the theater and online by using a rule of three:

Theater:

60→8

x  ←24

x=(60*24)/8=180

Online:

51→6

x ←24

x=(51*24)/6=204

Now, you need to calculate the difference:

$204-$180=$24

According to this, the answer is that Aimee can save $24 by buying tickets at the lower price that is at the theater.

3 0
3 years ago
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