First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$

Substitute 1 in for r

$\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi = 4.189$ = Volume

Finding the Height of a Cone

Volume formula for Cone: $V = \pi r^2\frac{h}{3}$

Solve for h

Multiply both sides by 3, then divide by pi and r^2.

$h = \frac{3V}{\pi r^2}$

Plug in the volume and the radius.

$h = \frac{3(4.189)}{\pi (1)^2}$

Simplify

$h = \frac{12.567}{\pi }$

h ≈ 4

4 is approximately the height.

#TeamTrees #PAW (Plant And Water)

6 0

3 years ago

The length of a rectangle is 4 centimeters more than its width. if the ratio of the length to width is seven to five, find the d

Marina86 [1]

L = 4 + w
l/w = 7/5
l = 7w/5

7w/5 = 5 + w
7w = 25 + 5w
2w = 25
w = 12.5

l = 4 + 12.5
l = 16.5

the dimensions are 16.5 x 12.5 cm

6 0

4 years ago

What would the simplified answer be?

Dima020 [189]

The correct answer is 25x-y^5

7 0

4 years ago

Read 2 more answers

PLEASE HELP circle a has area 500in squared. the diameter of circle b is three times the diameter of circle a. esitmate the area

valentina_108 [34]

Answer:

Step-by-step explanation:

r and d are the radius and diameter of a, respectively.

area of a = πr² = 500 in²

r = √500/√π = 10√5/√π

d = 20√5/√π

radius of b = 3r = 30√5/√π

area of b = π(30√5/√π)² = π(4500/π) = 4500 in²

8 0

3 years ago