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larisa86 [58]
3 years ago
6

How do i solve v=pi/3*r (squared)h for h

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
V=\dfrac{\pi}{3}\cdot r^2h\ \ \ \ \ |multiply\ both\ sides\ by\ 3\\\\\pi r^2h=3V\ \ \ \ |\divide\ both\ sides\ by\ \pi r^2\\\\\boxed{h=\dfrac{3V}{\pi r^2}}
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The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of ​​a rectangle
Juliette [100K]

Answer:

Area = 960 cm^2

Step-by-step explanation:

Perimeter (P) = 2 (l + w)

P = 2l + 2w

Let the length be 5x

Let the width be 3x

From the question, P = 128.

Therefore:

128 = 2l + 2w

Divide both sides by 2.

l + w = 64

Recall we said:

l = 5x

w = 3x

So then:

5x + 3x = 64

8x = 64

Divide both sides by 8

x = 64/8

x = 8.

Since x = 8

Length = 5x = 5*8 = 40cm

Width =3x = 3 * 8 = 24cm

Area of a RECTANGLE:

Area = length * width

Area = 40 * 24

Area = 960 cm^2

7 0
3 years ago
Which is a correct classification for the triangle?
sasho [114]

Answer:

acute

Step-by-step explanation:

8 0
3 years ago
At a glassworks, 60 pounds of composite glass is required to produce 15 pounds of glass. How many pounds of composite are
aleksandr82 [10.1K]
Ngl I think it’s 20 because 15 is 5x3 but 60 divided by 3=20 lmk if I’m wrong
3 0
3 years ago
Toothy the crocodile wants to eat a delicious chicken. His mouth is open to an angle of 30 degrees.
damaskus [11]

Answer: 25°

Step-by-step explanation:

From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.

The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:

= 55° - 30°

= 25°

7 0
3 years ago
A square grassy field is watered by 4 sprinklers. The sprinklers spray water in a circular pattern, as shown above. If the field
enot [183]
The answer is (3600 - 900π) ft²

Step 1. Find the radius r of circles.
Step 2. Find the area of the portion of the field that will be watered by the sprinklers (A1)
Step 3. Find the total area of the field (A2)
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A)

Step 1. Find the radius r of circles
r = ?
According to the image, radius of a square is one fourth of the field side length:
r = s/4
s = 60 ft
r = 60/4 = 15 ft

Step 2. Find the area of the portion of the field that will be watered by the sprinklers.
The area of the field that will be watered by the sprinklers (A1) is actually total area of 4 circles with radius 15 ft.
Since the area of a circle is π r², then A1 is:
A1 = 4 * π r² = 4 * π * 15² = 900π ft²

Step 3. Find the total area of the field (A2)
The field is actually a square with side s = 60 ft.
A2 = s² = 60² = 3600 ft²

Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A).
To get the area of the portion of the field that will not be watered by the sprinklers (A) we need to subtract the area of 4 circles from the total area:
A = A2 - A1
A = (3600 - 900π) ft²
5 0
3 years ago
Read 2 more answers
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