3 years ago

The ratio of the heights of two similar pyramids is 3:2. The volume of the larger pyramid is 135 cm3. What is the volume of the

smaller pyramid?

1 answer:

3 0

$l-larger\\s-smaller\\\\\dfrac{h_l}{h_s}=\dfrac{3}{2}\to\dfrac{V_l}{V_s}=\left(\dfrac{3}{2}\right)^3\\\\V_l=135\ cm^3.\\subtitute\\\\\dfrac{135}{V_s}=\dfrac{27}{8}\ \ \ \ |cross\ multiply\\\\27V_s=135\cdot8\\\\27V_s=1080\ \ \ |divide\ both\ sides\ by\ 27\\\\\boxed{V_s=40\ (cm^3)}$

You might be interested in

(5x+2)(x+1) what is the answer

zhenek [66]

5x squared+7x+2. That is the answer

7 0

3 years ago

What is 0.12¯¯¯¯ expressed as a fraction in simplest form?

dusya [7]

0.12 = 12/100 = 6/50 =3/25

0.12 =3/25

The work is included if needed

3 0

3 years ago

Read 2 more answers

Give triangle TRY, find TY. Round your answer to the nearest hundredth.

3241004551 [841]

The length of TY is 2.26.

Solution:

In ΔTRY, θ = 37°, Adjacent side = 3.

To find the length of TY.

Using trigonometry identity,

$$\tan\theta=\frac{{opposite}}{{Adjacent}}$

$$\tan37^\circ=\frac{{TY}}{3}$

$$3\tan37^\circ=TY$

$$3\times 0.75355=TY$

$$TY=2.26065$

TY = 2.26

Hence the length of TY is 2.26.

8 0

3 years ago

Timed ! Help please

Mkey [24]

B. is the answer hope I got it right: )

7 0

3 years ago

Help! What's the slope?

Sliva [168]

Answer:

2/7

Step-by-step explanation:

You do the number it goes up, 1 to 3 in this case, over the number it goes sideways, 3 to -4. My teacher always said rise over run to help us remember.

7 0

3 years ago