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3 years ago

Find the volume of this solid.

Mathematics

1 answer:

bija089 [108]3 years ago

6 0

Answer:

Step-by-step explanation:

area of side surface=50×20+20×35=1000+700=1700 m²

voume of solid=1700×12=204,00 m³

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A line includes the points (-7, -3) and (10, -6). What is it’s equation in slope-intercept form?

Vaselesa [24]

7,3 and 10,6 put them together

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3 years ago

In which quadrant does an angle of 1300° terminate? Assume the vertex of the angle is at the origin and one leg of the angle is

NikAS [45]

<h3>Answer: quadrant 3</h3>

Work Shown:

Divide 1300 over 360

1300/360 = 3.611 approximately

Focus on the whole part 3. There are 3 full revolutions

3*360 = 1080, which subtracts off to get 1300-1080 = 220 left over.

The remainder 220 tells us where the angle points. It's in quadrant 3 since 220 degrees is between 180 degrees and 270 degrees.

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3 years ago

What is the weight of a bowling ball with a 5 in. radius if we know that one cubic inch weighs 1/100th of a pound?

lorasvet [3.4K]

<h2>Greetings!</h2><h3>To find the total area of the bowling ball, which we presume is spherical, the equation is:</h3>

$\frac{4}{3}$ πr³

<h3>So we know that the radius is 5, so we can substitute that into the equation:</h3>

$\frac{4}{3}$ x π x 5³ = 523.599 or 524 to 1dp.

<h3>Seeing as this is 524 cubic inches, we can convert this into pounds by dividing this by 100, because one cubic inch weights $\frac{1}{100}$ as stated.</h3>

524 ÷ 100 = 5.24lb

<h3>So your answer would be B, 5.24lb.</h3>
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6 0

3 years ago

A cone has a diameter of 7.5 ft and a height of 4.25 ft. What is the volume of the cone to the nearest tenth? Use 3.14 for π.

leva [86]

Answer:

The volume of a cone is $62.5\ \text{feet}^3$ .

Step-by-step explanation:

We have,

Diameter of a cone is 7.5 ft

Radius of a cone is 3.75 ft

Height of the cone is 4.25 ft

It is required to find the volume of the cone. The formula of the volume of cone is given by :

$V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (3.75)^2\times 4.25\\\\V=62.55\ \text{feet}^3$

So, the volume of a cone is $62.5\ \text{feet}^3$ .

3 0

3 years ago

Sally begins hiking at an elevation of 224 feet. Then, she descends 131 feet and climbs 67 feet higher than her current position

Deffense [45]

Answer:

-3

Three feet below the initial elevation

Step-by-step explanation:

The initial elevation is 224 feet.

We take descent to be negative and ascent to be positive.

The numerical addition expression is

$224+-131+67+-163$

We simplify this to obtain:

$224-131+67-163=-3$

The negative sign means Sally is 3 feet below his initial elevation

5 0

3 years ago