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2 years ago

Find the circumference of a circle with a diameter of 9 in.

Mathematics

1 answer:

Arturiano [62]2 years ago

8 0

Answer:

28.27 inches

Step-by-step explanation:

circumference of a circle = πd

9π = 28.27

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From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

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2 years ago

What quadrilateral has exactly one pair of parallel sided?

8_murik_8 [283]

It should be a trapezoid

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3 years ago

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To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. W

Stella [2.4K]

This is what u got: 2•8=16/2=8

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3 years ago

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Work out 1% of 200 litres<br> need explination

Varvara68 [4.7K]

ANSWER

To find 1% of something (1/100 of something), divide by 100.

1% of 200 is 2.

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3 years ago

What is the equation that best matches the graph ?

NemiM [27]

Answer:

Step-by-step explanation:

notice that the graph has a vertical asymptote.

to find a VA, you set the denominator = 0.

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3 years ago