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3 years ago

10

A sphere has a radius of 7 millimeters. A second sphere has a radius of 4 millimeters. What is the difference of the volumes of

the spheres?

1 answer:

sattari [20]3 years ago

3 0

The difference would be 371 1/3

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20. Sketch the level curve of the function f(x, y) that contains the point (5,0).

PolarNik [594]

At the given point,

$f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14$

Then the level curve is

$\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2$

which is a circle centered at the origin with radius 5 - quite easy to sketch.

5 0

2 years ago

Find the surface area of the cylinder. Round your answer to the nearest tenth.

kirill [66]

Given:

Height of cylinder = 12 cm

Diameter of cylinder = 6 cm

To find:

Surface area of the cylinder

Solution:

Radius = 6 ÷ 2 = 3 cm

Surface area formula:

$SA=2\pi r^2+2 \pi rh$

Substitute the given values.

$SA=2\times3.14 \times3^2+2\times3.14 \times3 \times12$

$=56.52+226.08$

= 286.2 cm²

The surface area of the cylinder is 286.2 cm².

8 0

3 years ago

Rewrite the quadratic function below in standard form y=3(x+3(x+5)

icang [17]

Answer:

$\boxed {y =3 {x}^{2} + 8x + 15}$

Step-by-step explanation:

$y = 3(x + 3)(x + 5)$

Expand/Distribute x+3 in x+5

$y = 3( {x}^{2} + 8x + 15)$

Distribute 3 in the expression.

$y = 3 {x}^{2} + 24x + 45$

5 0

3 years ago

Solve 5x + 2 = 3x -8

qaws [65]

Step-by-step explanation:

5x-3x=-8-2

2x=-10

x=-10/2

x=-5

8 0

3 years ago

Read 2 more answers

Robert is Jason with to buy the real ticket package for the football game a pack gauge, a cost 270 6L includes two tickets for e

Firdavs [7]

I think to solve this problem you would have to divide 276 by 2 and 336 by 2 to get the costs per ticket. Then you would compare the costs and see which ticket costs or charges more.

6 0

3 years ago