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Mnenie [13.5K]
3 years ago
14

The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the

base area of the cone. What is the expression for the volume of the pyramid in terms of the radius rof the cone?
Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer:

v = 3πr^2

  • Step-by-step explanation:

v=1/3bh

v=1/3(πr^2)h [because the bases are equal and the base of a cone is circle]

v=1/3(πr^2)(3r) [because the height is 3 times the radius]

v=π3r^2 [1/3 and 3 cancel and we times 3r and r^2]

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Sally used 30 cubes to build a rectangular prism that was 5 cubes long, 3 cubes wide, and 2 cubes high. She decided to take apar
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Answer:

3cube long 2 cube wide and 5 cube prism.

Step-by-step explanation:

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Select the two figures that are similar to the 5 by 10 figure that is shown.
Lapatulllka [165]

Answer:

Figure (i) and (iv)

Step-by-step explanation:

Given:

Optional figure is given in attached file.

We need to find two figures that are similar to the 5 by 10 figure.

All the given figure are m\times n form.

Where m represent the number of rows and n represent the number of columns.

Solution:

Observe that in the given figure 5 by 10, the number of rows is 5 and number of columns is 10, that is, the number of columns is double of that the number of rows.

So we need to find two such figures whose number of columns is double of the number of rows.

From the given figures, figure (i) the number of rows is 2 and number of columns is 4, which is double of number of rows. so it is similar to 5 by 10 figure.

Similarly in figure (iv), the number of rows is 4 and number of columns is 8. so the number of columns is double the number of rows, so it is similar to the figure 5 by 10.

Therefore, the two figures that are similar to 5 by 10 figure are given in attached file such as (i) and (iv).

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Kaylis [27]

Answer:

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Students: $8

Step-by-step explanation:

Adults: x

Students: y

a) 25x + 31y = 673

b) 27x +31y = 707

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a) -1(25x + 31y = 673) = -25 -31y = -673

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2 years ago
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