what is the vertical height of interverted cone with the diameter of 6 cm and the slant height of 6cm?

Mathematics

1 answer:

den301095 [7]3 years ago

6 0

"interverted" or "inverted?"

The vertical height of an inverted cone with base diameter 6 cm and slant height of 6 cm can be found using the Pyth. Thm. Draw or imagine a triangle whose height is h and whose base is 3 cm (not 6) and whose hypotenuse is 6 cm.

Then h^2 + (3 cm)^2 = (6 cm)^2, or h^2 + 9 cm^2 = 36 cm^2, or h^2 = 27 cm^2.

Then the height of the triangle, as well as of the cone, is h = +√27, or

h = +3√3.

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Andrew can paint the neighbor's house 6 times as fast as The year and worked together, it took them 5 days. How long would it

Rina8888 [55]

Answer: $\dfrac{35}{6}\ \text{days},\ 35\ \text{days}$

Step-by-step explanation:

Given

Andrew can paint times faster than the other

Suppose the other person take 6x days

So, andrew takes only x days to paint alone

When they work together, it took them 5 days i.e.

$\Rightarrow \dfrac{1}{x}+\dfrac{1}{6x}=\dfrac{1}{5}\\\\\Rightarrow \dfrac{6+1}{6x}=\dfrac{1}{5}\\\\\Rightarrow x=\dfrac{35}{6}\ \text{days}$

So, time taken by the to finish individually is given by

$\Rightarrow \text{Andrew= }\dfrac{35}{6}\ \text{days}\\\\\Rightarrow \text{Other Person}=6\times \dfrac{35}{6}\\\\\Rightarrow \text{Other Person}=35\ \text{days}$