What’s the correct volume ?

Mathematics

1 answer:

nikitadnepr [17]3 years ago

7 0

Answer:

V = 12π

Step-by-step explanation:

Given radius of cone, r = 3 and y = 5

by Pythagorean theorem (or by recognizing that this is a standard 3-4-5 right triangle), we can determine that height of cone, x = 4 in

volume of cone is given by :

V= (1/3) πr²x

= (1/3) x π x 3² x 4

V = 12π

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Answer:

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Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length

Bezzdna [24]

Answer:

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Step-by-step explanation:

Given;

ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = $2\ cm$ and

Length of DE = $6\ cm$

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Solution,

Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

$\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}$

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

$\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2$