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2 years ago

Type SSS, SAS, ASA, SAA, or HL to

Mathematics

1 answer:

Phoenix [80]2 years ago

6 0

Answer:

ASA

Step-by-step explanation:

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A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

6 0

3 years ago

Circle o has a circumference of approximately 44in what is the approximate length of the diameter d

Gre4nikov [31]

the answer should be 14.01.

divide by 2, divide by 3.14, multiply 7.0... by 2 and round to the nearest hundreth.

7 0

3 years ago

7 of 7

alekssr [168]

Wendy bought widget stock at 14.125 and sold it for 18 what was the percent of increase

4 0

2 years ago

The adjoining circle with centre O has a radius of 14 cm. ABCD is a square drawn inside the circle. Calculate the area of the sh

Karolina [17]

Find the circumference and then remove the square area from the circles circumference. R squared x 3.14(Pi)=circumference

8 0

3 years ago

The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.

enot [183]

Answer:

B. Obtuse Triangle

Step-by-step explanation:

Use Pythagorean to identify if the triangle is right:

9² = 7² + 3²
81 = 58

We see the triangle is not right and the difference of the squares tells us the angle opposite to side with measure of 9 is greater than 90°.

It means the triangle is obtuse.

Correct choice is B

8 0

3 years ago