The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2

Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2

Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm

So the radius of the cone is 12 cm

8 0

3 years ago

Math worksheets due today and im freaking out.

Shtirlitz [24]

Answer:

it's liniear

Step-by-step explanation:

since it is going up by the same amount every time

6 0

3 years ago

Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, mo

Ymorist [56]

Answer:

$-62024.48$

Step-by-step explanation:

Given

$[ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5]$

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

$[ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ]$

Solve the expressions in the inner brackets

$[ 4 * 7 ] - 3 [ 2 \div 1 2 ] * 2 ( 8.4 ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ]$

Solve all divisions

$[ 4 * 7 ] - 3 * \frac{1}{6} * 2 ( 8.4 ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ]$

$[28] - 0.5 * (16.8) * (4) [9] * (21.6) * [9.5]$

$[28] - 0.5 * (16.8) * [36] * (21.6) * [9.5]$

Multiply through

$28- 62052.48$

$-62024.48$

3 0

3 years ago

How is completing the square beneficial?

Lelechka [254]

If it is, then you can solve the equation by taking the square root of both sides of the equation. ... Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use. Finally, the quadratic formula will work on any quadratic equation

8 0

3 years ago