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Paladinen [302]
2 years ago
15

Pls give me the answer asap I'll give the crown thingy

Mathematics
1 answer:
wolverine [178]2 years ago
3 0

Answer:

Step-by-step explanation:

150 -12.2 -rounded

350 -18.4.

add or subtract

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = r = \frac{d}{2}

Substitute h for d in the above expression

r = \frac{h}{2}. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

\pi r^2 = \frac{27}{h}

-------------------

Calculating the volume of a sphere

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

Expand the above expression

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

Substitute \pi r^2 = \frac{27}{h}

V = \frac{4}{3} * \frac{27}{h} * r

Recall that r = \frac{h}{2}

So,

V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}

V = \frac{4}{3} * \frac{27}{2}

V = \frac{2}{3} * 27

V = \frac{2}{3} (27)

V = two-third (27)

4 0
3 years ago
A 2b (3 a 2 + 4 ab 2 )
Gala2k [10]

Answer:

You should get 13

Step-by-step explanation:

3 0
3 years ago
A school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to
vovikov84 [41]

Answer:

30.1 feet.  

Step-by-step explanation:

We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.

First of all, we will draw a diagram to represent our give scenario as shown in the attachment.

We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(62^{\circ})=\frac{h}{16}

h=16\cdot \text{tan}(62^{\circ})

h=16\cdot 1.880726465346

h=30.0916234\approx 30.1

Therefore, the poll is approximately 30.1 feet tall.

6 0
3 years ago
Question 7
Pepsi [2]

Answer:

1 : 2.3

Step-by-step explanation

7 0
2 years ago
A group of 340 students travels by bus. Each bus holds 52 students. a How many buses do they need? ​
melisa1 [442]

Answer:

The required number of buses=340/52=85/13buses

Step-by-step explanation:

8 0
2 years ago
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