A book is 52 pages i read 18 already i am gonna read 10 pages every day how many days will it take to finish the book

alekssr [168]

1) The sculptor created a marble basin with an approximate volume of 94,509.6 cubic centimeters - Option D, 2) The approximate area of the heart-shaped cake is 283 square inches - Option B, 3) The length of the wooden frame around the window is 94.3 inches - Option B.

In this question we should make use of geometric formulas for volumes and areas and key information from statement in order to find the right choices.

1) In this case, the volume occupied by the marble water basin ( $V$ ), in cubic centimeters, by subtracting the volume of the hemisphere from the volume of the cylinder:

$V = \pi\cdot R^{2}\cdot h - \frac{2\pi}{3} \cdot r^{3}$ (1)

Where:

$R$ - Radius of the cylinder, in centimeters.
$h$ - Height of the cylinder, in centimeters.
$r$ - Radius of the cylinder, in centimeters.

If we know that $R = 30\,cm$ , $h = 45\,cm$ and $r = 25\,cm$ , then the volume of the marble is:

$V = \pi \cdot (30\,cm)^{2}\cdot (45\,cm) - \frac{2\pi}{3}\cdot (25\,cm)^{3}$

$V \approx 94509.579\,cm^{3}$

The right choice is D.

2) To determine the approximate surface area of the cake covered in red frosting ( $A_{s}$ ), in square inches, we need to find the sum of the surface area of the entire circle and the surface area of the square:

$A_{s} = l^{2} + 2\cdot l\cdot h + \frac{\pi}{4}\cdot D^2 + \pi \cdot D\cdot h$ (2)

Where:

$l$ - Side length of the square, in inches.
$h$ - Height of the cakes, in inches.
$D$ - Diameter of the cakes, in inches.

If we know that $l = 9\,in$ , $h = 3\,in$ and $D = 9\,in$ , then the <em>approximate</em> area covered in red frosting:

$A_{s} = (9\,in)^{2} + 2\cdot (9\,in)\cdot (3\,in) + \frac{\pi}{4}\cdot (9\,in)^{2} + \pi \cdot (9\,in)\cdot (3\,in)$

$A_{s} \approx 283.440\,in^{2}$

The right choice is B.

3) The frame around the window is found by means of the following perimeter formula ( $s$ ), in inches:

$s = \pi\cdot r + 2\cdot h + 2\cdot r$ (3)

Where:

$r$ - Radius, in inches.
$h$ - Height of the rectangle, in inches.

If we know that $r = 9\,in$ and $h = 24\,in$ , then the length of the frame around the window is:

$s = \pi\cdot (9\,in) + 2\cdot (24\,in) + 2\cdot (9\,in)$

$s \approx 94.274\,in$

The right choice is B.

We kindly invite to see question on volumes: brainly.com/question/1578538

7 0

3 years ago

I need help it has to be correct

seraphim [82]

Answer:

BC = 14.40 correct to 1dp

Step-by-step explanation:

Sin44°= AC/BC

BC=AC/sin44°

BC=10/0.695

BC=14.3884892086330

BC = 14.40 correct to 1dp

6 0

3 years ago

Determine the value of x. Round to the tenths place. 30/4 65/x

Dmitry [639]

wow that's really hard... :) greetings from South Korea My name is Naoyoung nei The abbreviation of Nanda is Naoyoung nei And the name DA is the name of my father and mother

5 0

2 years ago

40% remaining 8 minutes left how long with the entire download take 48 minutes 32 minutes 20 minutes or 8 minutes

RSB [31]

Answer:

20 minutes

Step-by-step explanation:

8÷.40=20

so your download will only take 20 minutes

5 0

3 years ago

What is the equation of the line of best fit for the following data? Round the slope and y intercept of the line to three decima

ZanzabumX [31]

Answer:

Choice B

Step-by-step explanation:

We can perform a least squares regression model in Ms. Excel to determine the equation of the line of best fit for the data given;

The first step is to enter the data into any two adjacent columns of an excel workbook. Next, click on the Data ribbon followed by the Data Analysis tool pack. We then proceed to select regression from the pop-up window. The final step is to select the y range and the x range of values from our data.

Once we click ok, Excel returns our least squares regression model as shown in the attachment below.

The coefficient of X variable 1 is our slope.

8 0

3 years ago

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