1/2, 1/3, 2/9, 4/27, next in sequence

Nadya [2.5K]

Answer:

$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

4 0

3 years ago

Stells [14]

Answer:

The answer is 9

Step-by-step explanation:

Have a great day!

4 0

3 years ago

svlad2 [7]

3 + [_] ÷ 7 = 9

[_] ÷ 7 = 9 - 3

[_] = 6 x 7

[_] = 42

to check, just put 42 in the empty place and solve

5 0

3 years ago

Tamiku [17]

Answer:

Step-by-step explanation:

1 is 13.86 2 is 16

5 0

3 years ago

Pepsi [2]

Answer:b

Step-by-step explanation:

3.5*5*.5=8.75

5 0

3 years ago