Apyramid has volume of 32cm3 evertical height
8cm. Asimilar pyramid has volume 16 384 cm.
What is its vertical height?

64 cm

Step-by-step explanation:

Given 2 similar figures with linear ratio = a : b, then

ratio of volumes = a³ : b³

Given

ratio of volume = 32 : 16384 then

ratio of heights = : ← values are not exact cubes

Using proportion then letting x be height of larger pyramid

= , that is

8 = ( multiply both sides by 8 )

64 = x

That is vertical height is 64 cm

64cm

Step-by-step explanation:

(Side1/Side2)³ = Volume1/Volume2

(H/8)³ =

H³/256 = 16384/32

H³ = 262144

H = 64cm

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: