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2 years ago

Please help. I think the answer is 30 but I’m not sure

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

5 0

It’s 30 I think, just go for it good luck

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Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed

lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

Volume of a cylinder

$\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

h = 18cm
V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the radius of the cylinder:

$\implies \sf 1715=\pi r^2 (18)$

$\implies \sf r^2=\dfrac{1715}{18 \pi}$

$\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}$

Surface Area of a Cylinder

$\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}$

Substitute the given value of h and the found value of r into the formula and solve for SA:

$\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)$

$\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=813.3908956...$

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

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2 years ago

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Answer: D

Step-by-step explanation:

A quadratic function has a degree of 2 so there will be two roots. The statement says the function does NOT CROSS THE X-AXIS so there are no real roots. That means both roots must be imaginary (complex).

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Answer:

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3 years ago

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Light in vacuum is incident on the surface of a slab of transparent material. In the vacuum the beam makes an angle of 43.8° wit

REY [17]

Answer:

Index of refraction of transparent is 1.48

Step-by-step explanation:

Snell's law states that;

n1(sinθ1) = n2(sinθ2)

Where;

n1 and n2 represent the indices of refraction for the two media, and θ1 and θ2 are the angles of incidence and refraction that the ray R makes with the normal.

In this question;

n1 = 1;

θ1 = 43.8°

θ2 = 19.3°

n2 is unknown.

Thus using Snell's law, we have;

1 x sin 43.8 = n2 x sin 19.3

n2 = (sin 43.8)/sin 19.3

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Answer:

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Step-by-step explanation:

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