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2 years ago

A cone has a height of 18 yards and a diameter of 28 yards. What is its volume?

Mathematics

1 answer:

rosijanka [135]2 years ago

8 0

Answer:

504

Step-by-step explanation:

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Kobotan [32]

Keep sonsobsonsonsnisniunwun of your name and I will have to be a blind

8 0

3 years ago

12. In the given figure, RS is parallel to PQ, If RS = 3 cm, PQ = 6 cm and ar(∆TRS) = 15cm³, then ar (∆TPQ) = ? (a) 70 cm² (b) 5

Gnesinka [82]

$\large\underline{\sf{Solution-}}$

Given that,

In triangle TPQ, 

RS || PQ,

RS = 3 cm,

PQ = 6 cm,

ar(∆ TRS) = 15 sq. cm

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

$\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}$

Now, We know 

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4$

$\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2}$

3 0

2 years ago

Mexico City, Mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected gro

Cloud [144]

Answer:

Predicted population of Mexico City in year 2010 = 38386000

Step-by-step explanation:

Formula to be used for the population of Mexico,

P = 20.899 $e^{0.032t}$

Where t = Duration after year 1991

P = Final population

Number of years between 2010 and 1991 = 19 years

Predicted population of Mexico city after 2010 = 20.899 $e^{0.032\times 19}$

= 20.899 × (1.8368)

= 38.38633 million

= 38.386 million

Therefore, predicted population of Mexico City in year 2010 = 38386000

5 0

2 years ago

ADante begins to evaluate the expression 3 1/3 × 51/4 using the steps below. Which could be his next step?

antiseptic1488 [7]

Answer:

31/3 ×51/4

527/4

Step-by-step explanation:

4 0

3 years ago

What is an equation of a line,in point-slope from, that passes through (1, -7) and has a slope of -2/3

il63 [147K]

Answer:

y + 7 = - $\frac{2}{3}$ (x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

Where m is the slope and (a, b) a point on the line

Here m = - $\frac{2}{3}$ and (a, b) = (1, - 7), thus

y - (- 7) = - $\frac{2}{3}$ (x - 1), that is

y + 7 = - $\frac{2}{3}$ (x - 1) ← in point- slope form

3 0

3 years ago