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3 years ago

URGENT i’ll give brainliest

Mathematics

1 answer:

Alex Ar [27]3 years ago

8 0

Answer:

Step-by-step explanation: 309

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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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Simplify negative 5 and 1 over 6 − negative 8 and 1 over 2

Tomtit [17]

Answer:

Hi there!

Your answer is;

17/6 OR 2 & 5/6

Step-by-step explanation:

(-5+1)/6 - (-8+1)/2

First, simplify in parentheses!

-4/6 - -7/2

Next, change the symbol of 7/2 because two negatives make a positive!

-4/6 +7/2

Next, change the denominators so they both have the same

-4/6 + 7/2

× 3/3

-4/6 + 21/6

Simplify!

17/6

OR

2 & 5/6

Hope this helps

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