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3 years ago

A cylinder has a volume of 75 cubic centimeters. What is the volume of a sphere with the same height and radius?

1 answer:

8 0

The sphere and the cylinder have the same heightbecause of this the height of the cylinder is equal to the diameter of the spherethe diameter of the sphere is 2*7=14 cm, so the height of the cylinder is also 14 cmthe radius of the cylinder is 7 cmV=∏*r^2*hV=3.14159*7^2*14V=3.14159*49*14V=3.14159*686V=2155.13074 cubic cm, or...V=(22/7)(7^2)(14) (22/7 is an approximation for pi)V=(22/7)(49)(14)V=(22)(7)(14)V=(22)(98)V=2156 cubic cm

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miskamm [114]

The first picture is for number 1 and the second one for number 2.

8 0

3 years ago

Austin is on the swim team. Each week he swims a total of 3000 meters. How many kilometers does he swim each week?

marishachu [46]

Answer:

3 km

Step-by-step explanation:

(NOTE: One kilometer is 1000 meters)

Divide 3000 by 1000 to get 3

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3 years ago

The Palace of Peace and Accord in Astana, Kazakhstan, was built in 200620062006. The building has a square right pyramid structu

Anastaziya [24]

Answer: h= 69.3m

Step-by-step explanation:

The correct values in the question are:

year : 2006, length 62, vertical height 62.

So, the measure asked is called slant height . we have to apply the formula:

sh = √(vh^2 + [L/2]^2)

Where:

vh= vertical height

L= length of a side of the square base

Replacing with the values given:

sh= √(62^2 + [62/2]^2)

sh = √(3,844 + 31^2)

sh= √(3,844 + 961)

sh = √4,805

hs= 69.31 =69.3 m (nearest tenth)

Since in the question that height is called h, h= 69.3

3 0

3 years ago

Y - 3 = -2.4(x-5) write an equation in slope intercept form

gulaghasi [49]

The answer is y=-2.4+15. (remember the 2.4 is negative)

3 0

3 years ago

The sides of a triangle are x,x+1,2x-1 and its area is x root 10. Find the value of x

Marianna [84]

You can use Heron's formula to solve this problem.

 $A= \sqrt{s(s-a)(s-b)(s-c)}$ , where A is the area; a,b,с are the sides; s is the semiperimeter of the triangle
 $s= \frac{a+b+c}{2}$

According to conditions:
a = x
b = x+1
с = 2x-1

Calculate the semiperimeter:
 $s= \frac{x+x+1+2x-1}{2} = \frac{4x}{2}=2x$

Now we can compose and solve the equation according to Heron's formula:
 $\sqrt{2x(2x-x)(2x-(x+1))(2x-(2x-1))}=x \sqrt{10} \\ \sqrt{2x(x)(2x-x-1)(2x-2x+1)}=x \sqrt{10} \\ \sqrt{2x^2(x-1)(1)}=x \sqrt{10} \\ \sqrt{2x^3-2x^2}=x \sqrt{10} \ \ \ |()^2 \\ 2x^3-2x^2=10x^2 \\ 2x^3-2x^2-10x^2=0 \\ 2x^3-12x^2=0 \ \ |:2 \\ x^3-6x^2=0 \\ x^2(x-6)=0 \\ \\ x^2=0 \\ x=0 \ \ \ \O \\ or \\ x-6=0 \\ x=6$

As a result, x = 6 is your answer.

I hope this helped.

7 0

3 years ago