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4 years ago

13

A cut was made on each solid parallel to its base. Will the cut form a two-dimensional figure that is exactly the same shape as

the solid’s base but a different size than original base? Select yes or no for each.
Pyramid

Prism

Cylinder

Cone

Cube

1 answer:

ivolga24 [154]4 years ago

8 0

Answer:

Step-by-step explanation: yes yes no yes no I think. I think it’s no for cylinder and cube bc if u cut them, it’ll be the same shape but also the same size

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Three semicircles are placed in a rectangle, as shown below. The length of the rectangle is 30 m . Find the area of the shaded r

Anuta_ua [19.1K]

Answer:

The area of the shaded region is: 32.25m^2

Step-by-step explanation:

Given

See attachment for rectangle and semicircles

Required

The shaded region

We have:

$l =30$ --- length of the rectangle

This means that the diameters of the three circles add up to 30m.

So, the diameter of 1 is:

$d = l/3$

$d = 30/3$

$d = 10$

The area of one circle is:

$A_1 = \pi * \frac{d^2}{8}$

$A_1 = 3.14 * \frac{10^2}{8}$

$A_1 = 3.14 * \frac{100}{8}$

$A_1 = 39.25m^2$

The area of the three circles is:

$A_2 = 3 * A_1$

$A_2 = 3 *39.25m^2$

$A_2 = 117.75m^2$

The area of the rectangle is:

$A_3 = 30 * r$

Where r is the radius of the circle

And

$r =d/2$

$r =10/2$

$r =5$

So, we have:

$A_3 = 30 * r$

$A_3 = 30 * 5$

$A_3 = 150$

So, the shaded region is:

$A_4 = A_3 - A_2$

$A_4 = 150 - 117.75$

$A_4 = 32.25m^2$

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The answer is
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