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3 years ago

How do you work out y?

Mathematics

2 answers:

frutty [35]3 years ago

6 0

Answer:

Step-by-step explanation:

Write the sides as proportions:

$\frac{30}{18}=\frac{40}{y}$

and cross multiply to get

30y = 720 so

y = 24

yan [13]3 years ago

5 0

You could cross multiply and the answer will be y=24 hope this helps:)

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Wewaii [24]

Answer: it’s probably negative 6.5 but there has to be a grid to be more clear

Step-by-step explanation:

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3 years ago

A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.

den301095 [7]

Answer:

8 times

Step-by-step explanation:

The volume of the prism:

V = lwh

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2 years ago

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2 years ago

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1 year ago

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)

8 0

1 year ago

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