What is the volume and surface area of a sphere if the diameter is 7.5 feet?

Answers

Answer 1

Answer: The volume of a sphere is expressed as the four thirds of the product of pi and the cube of its radius. The surface area, on the other hand, is expressed as four times the product of pi and the square of its radius. Radius is half the diameter. Calculations are as follows:

V = 4/3 X (πr^3) = 4/3 X (π x 3.75^3) =220.89 ft^3
SA = 4πr^2 = 4 x π x 3.75^2 = 176.71 ft^2

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All of the following fractions are equal 1/2 to except:A.5/10
B.20/40
C.4/6
D.9/18

Answers

The answer is C

Because

4/6= 0.6

I hope that's help:0

Answer:

4/6 does not equal 1/2 so 4/6 is the answer

Step-by-step explanation:

A rectangle has length (x-3) cm and width 4 cm. The perimeter of the rectangle is 40 cm. Find the length.

Answers

we actually don't need to solve for x, just legnth

P=2(L+W)
40=P
L=x-3=L (since we are solving for Legnth not specifically x)
W=4

40=2(L+4)
divide both sides by 2
20=L+4
minus 4 both sides
16=L

legnth=16 cm (x=19 just fyi)

2(x-3)+2(4)=40
2x-6+8=40
2x+2=40
2x=38
x=19
Length=(x-3)=(19-3)=16 cm

What is the length of a rectangle with an area of 8 1/0 square feet and a width of 2 1/4 feetA. 1/8 ft
B. 3 3/5 ft
C. 4 2/5 ft
D. 1 5/72

Answers

The answer D because that’s the answer that I think

What is the volume of the prisim show below .

8 6 10

Answers

6 * 8 * 10 = 480 is the volume of the prisim.

. Use the process outlined in the lesson to approximate the number 3√10. Use the approximation √10 ≈3162 277 7.. Find a sequence of five intervals that contain 3√10 whose endpoints get successively closer to 3√10. Write your
iintervals in the form 3^???? < 3^√10 < 3^s for rational numbers ????and s.

Answers

Answer:

sequence of five intervals

(1) 3³ < $3^(√(10) )$ < $3^(4)$

(2) $3^(3.1)$ < $3^(√(10) )$ < $3^(3.2)$

(3) $3^(3.16)$ < $3^(√(10) )$ < $3^(3.17)$

(4) $3^(3.162)$ < $3^(√(10) )$ < $3^(3.163)$

(5) $3^(3.1622)$ < $3^(√(10) )$ < $3^(3.1623)$

Step-by-step explanation:

as per question given data

√10 ≈ 3.162 277 7

to find out

sequence of five intervals

solution

as we have given that √10 value that is here

√10 ≈ 3.162 277 7 ........................1

when we find $3^(√(10) )$ ................2

put here √10 value in equation number 2

we get $3^(√(10) )$ that is 32.27

sequence of five intervals

(1) 3³ < $3^(√(10) )$ < $3^(4)$

(2) $3^(3.1)$ < $3^(√(10) )$ < $3^(3.2)$

(3) $3^(3.16)$ < $3^(√(10) )$ < $3^(3.17)$

(4) $3^(3.162)$ < $3^(√(10) )$ < $3^(3.163)$

(5) $3^(3.1622)$ < $3^(√(10) )$ < $3^(3.1623)$

The diameter of the Sun is approximately 1,400,000 kilometers, while the diameter of Saturn is approximately 1.2 x 105kilometers. How many kilometers larger is the diameter of the Sun than the diameter of Saturn?a) 1.28 times 10 to the sixth power
b) 1.52 times 10 to the sixth power
c) 1.28 times 10 to the seventh power
d) 1.58 times 10 to the seventh power
(Times means multiply since I have no multiplication sign on my computer)

Answers

Answer:

R = diameter of Sun / diameter of Saturn

R = 1.4E6 / 1.2E5 = 11.6 ratio of diameters

diameter (Sun - Saturn) = 10^6 ( 1.4 - .12) = 1.28 * 10^6

Apparently looking for answer (a)

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