All categories

3 years ago

Help me answer this question

Mathematics

1 answer:

Ne4ueva [31]3 years ago

5 0

Answer:

Volume=24+192=216

Step-by-step explanation:

Pink Rectangle:

LxWxH

3x1x8

3x8

24+192=216

Hope this helps!

You might be interested in

Which equations might Miguel write? Check all that apply. Plz help

irinina [24]

Answer:

Step-by-step explanation:

y>2x-4

y<2x-1

y<4x-4

6 0

3 years ago

Read 2 more answers

David bought a used car for $3,000 and later sold it for $1,000. What was the approximate percent decrease in the price of the c

Cloud [144]

The approximate decrease is around 66 percent.

8 0

3 years ago

Read 2 more answers

8.4 divided by 10 = ?

ASHA 777 [7]

Answer:

0.84

If you're looking for a percentage it'd be 84%

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How can this expression be written another way?

aleksklad [387]

Answer:

(105 x 30) + (105 x 5) + m

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A cone has radius 9 and a height 12. A frustum of this cone has height 4.

Anettt [7]

Answer:

Part A)

The lower base has a radius of 9 units, and the upper base has a radius of 6 units.

Part B)

5 units.

Part C)

75π or about 235.62 square units.

Step-by-step explanation:

Please refer to the figure below.

The cone has a radius of 9 units and a total height of 12 units.

A frustum of the cone has a height of 4 units.

Part A)

The lower radius of the frustum will simply be 9 units.

For the upper radius, we will use the properties of similar triangles. We will compare the smaller upper triangle to the overall larger triangle. This yields:

$\displaystyle \frac{12}{8}=\frac{9}{x}$

Solve for x. Simplify:

$\displaystyle \frac{3}{2}=\frac{9}{x}$

Cross-multiply:

$18=3x\Rightarrow x=6$

The upper base has a radius of 6 units.

Part B)

We can first find the total slant height of the entire cone. By using the Pythagorean Theorem, this yields that the total slant height is:

$SH^2=12^2+9^2$

Simplify:

$SH^2=225\Rightarrow SH=15\text{ units}$

Now, find the slant height of the upper cone:

$(SH_\text{cone})^2=8^2+6^2=100$

So:

$SH_\text{cone}=10$

Then the slant height of the frustum will be the cone subtracted from the total. Thus:

$SH_{\text{frustum}}=15-10=5\text{ units}$

Part C)

We can first find the lateral area of the entire cone. The lateral area is given by:

$LA=\pi r\ell$

The lateral area of the entire cone will be:

$LA=\pi (9)(15)=135\pi$

The lateral area of the upper cone will be:

$LA_\text{cone}=\pi(6)(10)=60\pi$

Then the lateral area of the frustum is:

$LA_\text{frustum}=135\pi-60\pi =75\pi\text{ units}^2\approx235.62\text{ units}^2$

5 0

2 years ago