Mathematics, 07.03.2020 03:29 tatenasira

Basic math plz help
volume of a cylinder with the given height and radius or diameter problems.

Basic math plz help volume of a cylinder with the given height and radius or diameter problems.

Answers: 2

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Answer from: lexiissmartberysmart

The volumes of the given cylinders ;

1. 125.6 cubic inches, 2. 62,800 cubic cm, 3. 2,009.6 cubic mm, and 4. 2,289.26 cubic feet.

The volumes of the given spheres;

1. 523.33 cubic cm, 2. 7,234.56 cubic inches, 3. 4.1866 cubic feet, and 4. 38,772.92 cubic mm.

Step-by-step explanation:

Step 1:

The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h).

The volume of any cylinder, $V =\pi r^{2} h$ .

Step 2:

1. d = 4 inches, r = 2 inches, h = 10 inches, $V =\pi r^{2} h$ $= 3.14 (2^{2} )(10)$ = 125.6 cubic inches.

2. r = 20 cm, h = 50 cm, $V =\pi r^{2} h$ $= 3.14 (20^{2} )(50)$ = 62,800 cubic cm.

3. d = 16 mm, r = 8 mm, h = 10 inches, $V =\pi r^{2} h$ $= 3.14 (8^{2} )(10)$ = 2,009.6 cubic mm.

4. r = 9 feet, h = 9 feet, $V =\pi r^{2} h$ $= 3.14 (9^{2} )(9)$ = 2,289.06 cubic feet.

Step 3:

The sphere's volume is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).

The sphere's volume , V = $\frac{4}{3} \pi r^{3}$ .

Step 4:

1. r = 5 cm, V = $\frac{4}{3} \pi r^{3}$ , $V = \frac{4}{3} (3.14) (5^{3}) = 523.333$ cubic cm.

2. d = 24 inches, r = 12 inches, V = $\frac{4}{3} \pi r^{3}$ , $V = \frac{4}{3} (3.14) (12^{3}) = 7,234.56$ cubic inches.

3. r = 1 foot, V = $\frac{4}{3} \pi r^{3}$ , $V = \frac{4}{3} (3.14) (1^{3}) = 4.18666$ cubic feet.

4. d = 42 mm, r = 21 mm, V = $\frac{4}{3} \pi r^{3}$ , $V = \frac{4}{3} (3.14) (21^{3}) = 38,772.92$ cubic mm.

Answer from: Quest

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

Answer from: Quest

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation:

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