All categories

2 years ago

Find the volume of the cone. Use 3.14 for n. Round to the nearest tenth.

Mathematics

1 answer:

enyata [817]2 years ago

7 0

Answer:

$1590.6cm {}^{3}$

Step-by-step explanation:

$volume \: of \: a \: cone \: v = \frac{1}{3}\pi \: r {}^{2} h \\ radius = \frac{diameter}{2} = \frac{15}{2} = 7.5 \\ v = \frac{1}{3} \times 3.42 \times (7.5) {}^{2} \times 27 \\ v = \frac{3.142 \times 7.5 \times 7.5 \times 27}{3} \\ v = \frac{4771.9125}{3} = 1590.6375 \\ v = 1590.6cm {}^{3} (approximatly) \\ please \: rate \: and \: mark \: brainliest$

You might be interested in

Pls help for this question! no wrong answers pls

ankoles [38]

Answer:

41.29 cm²

Step-by-step explanation:

From the question,

Area of the shaded portion = Area of the circle - area of the square.

A' = πr²-L²...… Equation 1

Where A' = Area of the shade portion, r = radius of the circle, L = length of the square, π = pie

Given: r = 4 cm, L = 3 cm

Constant: π = 22/7.

Substitute these values into equation 1

A' = [(22/7)×4²]-3²

A' = 50.29-9

A' = 41.29 cm²

Hence the area of the shaded portion is 41.29 cm²

8 0

3 years ago

Simplify (-2x^4y^-3)^4

elixir [45]

Answer:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = \frac{16 {x}^{16}}{ {y}^{12} }$

Step-by-step explanation:

We want to simplify:

$( - 2 {x}^{4} {y}^{ - 3} )^{4}$

We need to apply the exponential property for products of powers.

Recall that:

$( {a}^{m} \times {a}^{n} )^{p} = {a}^{mp} \times {a}^{np}$

We apply this rule to get:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = ( { - 2)}^{4} x \times {x}^{16} \times {y}^{ - 12}$

This simplifies to:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = 16 {x}^{16} \times {y}^{ - 12}$

We rewrite as positive index to get:

$( - 2 {x}^{4} {y}^{ - 3} )^{4} = \frac{16 {x}^{16}}{ {y}^{12} }$

7 0

3 years ago

If f(x) = 2x and g(x) = 1/2 then f(x) • g(x) is x..<br><br> True<br><br> False

raketka [301]

Answer:

true

Step-by-step explanation:

6 0

3 years ago

Answer the questions about the dot and box plot.

ivanzaharov [21]

Answer:

a. 104

b. 102, 104, and 105

Step-by-step explanation:

a. There are 13 data points plotted on the dot line. The median lies between the 6th and 7th data point.

Thus, on the dot line, the 6th and 7th data points both fall on 104.

Therefore, median = 104

b. The dot plot shows the high temperatures that occurred more than one day are:

102, 104, and 105

5 0

3 years ago

Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%

Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = $A=1000(1+\frac{0.06}{365})^{(365\times t)}$

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

= $1350

Orlando's investment after 5 years

$A=1000(1+\frac{0.06}{365})^{(365\times 5)}$

= $1000(1+0.000164)^{1825}$

= $1000(1.000164)^{1825}$

= 1000(1.349826)

= 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0

3 years ago