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timurjin [86]
3 years ago
12

The radius of a spherical ball is measured at r = 25 cm. Estimate the maximum error in the volume and surface area if r is accur

ate to within 0.6 cm. (Round your answers to three decimal places.)
Mathematics
1 answer:
natulia [17]3 years ago
3 0

Answer:

Volume = 2384.582 cm^3

Surface Area = 189.626 cm^2

Step-by-step explanation:

With the accuracy of r within 0.6 cm minimum & maximum values are 25-0.3 and 25+0.3 respectively.

Taking r = 25 cm

Volume = (4/3)*Pi*R3 = 65449.847

Surface Area = 4*Pi*R2 = 7853.982

The minimum possible values for Volume and surface area would be:

if r = 24.7 cm

Volume = (4/3)*Pi*R3 = 63121.814 cm^3

Surface Area = 4*Pi*R2 = 7666.617 cm^2

The maximum possible values for Volume and surface area would be:

if r = 25.3 cm

Volume = (4/3)*Pi*R3 = 67834.429 cm^3

Surface Area = 4*Pi*R2 = 8043.608 cm^2

Error from Minimum values:

Volume = 2328.033 cm^3

Surface Area = 187.365 cm^2

Error from Maximum values:

Volume = 2384.582 cm^3

Surface Area = 189.626 cm^2

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Step-by-step explanation:

<h2>GIVEN:-</h2>

The Perimeter of Equilateral triangle = 60cm

<h2>UNDERSTANDING THE CONCEPT:-</h2>

According to the question,

To find the height of the triangle,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

<h2>FORMULA USED:-</h2>

60 =  \frac{ \sqrt{3} }{4} a {}^{2}  \\

<h2>REQUIRED ANSWER:-</h2>

60 \times 4 =  \sqrt{3a {}^{2} }

a {}^{2}  = 240 \sqrt{3}  \\

a = 120 \sqrt{3} cm

<h3>SO, The Exact height of the triangle is 120√3cm.</h3>
5 0
2 years ago
At an ice cream social, 56 people ordered chocolate ice cream while 32 people ordered vanilla
Delicious77 [7]
A) 56:32
= 7:4 (simplified)
6 0
2 years ago
A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length
zepelin [54]

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

7 0
2 years ago
Slove this please <img src="https://tex.z-dn.net/?f=%5Csqrt%7B15n%5E2%7D%20%2A%5Csqrt%7B10n%5E3%7D" id="TexFormula1" title="\sqr
larisa [96]

Answer:

5n^2\sqrt{6n}

Start by breaking the radicand into assumed positive values.15n - 10n = 5n^3

3+2 = 6

Simplify.

5n^2\sqrt{6n}

4 0
1 year ago
Find the volume of the figure. Round your answers to the nearest tenth. It is recommended you use the π button on your calculato
Rom4ik [11]

Answer:

628.3 mi ³

Step-by-step explanation:

The formula for the volume of a cylinder is equal to πr²h, where r represents the radius of a circle on either the top/bottom of the cylinder and h represents the height. Here, the radius is given as 5 and the height as 8, so our volume is

πr²h = π (5)² h= π(25)(8) ≈ 628.3

4 0
2 years ago
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