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2 years ago

9

Sarah invests £400 at 3%

1 answer:

Kryger [21]2 years ago

5 0

Answer: £900

Step-by-step explanation:

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Arrange the cones in order from lease volume to greatest volume

bearhunter [10]

Answer:

Volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

cone with DIAMETER of 18 & height of 10

cone with RADIUS of 10 & height of 9

cone with RADIUS of 11 & height of 9

cone with DIAMETER of 20 & height of 12

Step-by-step explanation:

Let $V_{2}. V_{3}. and\ V_{4}.$ be the volume of the cone.

Let d, r and h be the diameter, radius and height of the cone.

Given:

$d_{1} = 20\ and\ h_{1}=12$

$d_{2} = 18\ and\ h_{2}=10$

$r_{3} = 10\ and\ h_{3}=9$

$r_{4} = 11\ and\ h_{14}=9$

Arrange the cones in order from lease volume to greatest volume.

Solution:

The volume of the cone is given below.

$V=\pi r^{2} \frac{h}{3}$ ----------------(1)

where: r is radius of the base of cone.

and h is height of the cone.

The volume of the cone for $d_{1} = 20\ and\ h_{1}=12$

$r_{1} = \frac{d_{1}}{2}$

$r_{1} = \frac{20}{2}=10\ units$

$V_{1}=\pi (r_{1})^{2} \frac{h_{1}}{3}$

$V_{1}=\pi (10)^{2} \frac{12}{3}$

$V_{1}=\pi\times 100\times 4$

$V_{1}=400\pi\ units^{3}$

Similarly, for volume of the cone for $d_{2} = 18\ and\ h_{2}=10$

$r_{2} = \frac{d_{2}}{2}$

$r_{2} = \frac{18}{2}=9\ units$

$V_{2}=\pi (r_{2})^{2} \frac{h_{2}}{3}$

$V_{2}=\pi (9)^{2} \frac{10}{3}$

$V_{2}=\pi\times 81\times \frac{10}{3}$

$V_{2}=\pi\times 27\times 10$

$V_{2}=270\pi\ units^{3}$

Similarly, for volume of the cone for $r_{3} = 10\ and\ h_{3}=9$

$V_{3}=\pi (r_{3})^{2} \frac{h_{3}}{3}$

$V_{3}=\pi (10)^{2} \frac{9}{3}$

$V_{3}=\pi\times 100\times 3$

$V_{3}=\pi\times 300$

$V_{3}=300\pi\ units^{3}$

Similarly, for volume of the cone for $r_{4} = 11\ and\ h_{4}=9$

$V_{4}=\pi (r_{4})^{2} \frac{h_{4}}{3}$

$V_{4}=\pi (11)^{2} \frac{9}{3}$

$V_{4}=\pi\times 121\times 3$

$V_{4}=\pi\times 363$

$V_{4}=363\pi\ units^{3}$

So, the volume of the cone in ascending order.

$V_{2}=270\pi\ units^{3}$

7 0

3 years ago

What is the answer to the question? 2x^2=10x

Lina20 [59]

Answer:

The correct answer is 0 or 5

Step-by-step explanation:

In order to solve this, solve for 0.

2x^2 = 10x

2x^2 - 10x = 0

Now factor the polynomial.

x(2x - 10) = 0

Now set each piece individually equal to 0.

x = 0

2x - 10 = 0

2x = 10

x = 5

7 0

3 years ago

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ANSWER CORRET AND ILL MARK U BRAINLIEST

Kipish [7]

Answer:

two is the last one, three us the first one, and four is the second one, and six is the definition of parallelogram

6 0

4 years ago

Find the area of a triangle with a base length of 4 units and a height of 5 units. (1 point) 8 square units 9 square units 10 sq

SVETLANKA909090 [29]

Answer:

10 square units

Step-by-step explanation:

Because to get the area of a triangle you cut the base length in half then multiply it by the height, in this case 2.5*4 = 10 square units

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3 years ago

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What is the answer of -56 - 67

yaroslaw [1]

Answer:

-123

Step-by-step explanation:

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4 years ago

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