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3 years ago

QUICK PLEASE!!!

Mathematics

1 answer:

Leni [432]3 years ago

7 0

A^2 + b^2 = c^2
a^2 = c^2 - b^2
a = square root of (c^2 - b^2)

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Coffee is sold in two different-sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger c

SVEN [57.7K]

Answer:

Step-by-step explanation:

Smaller Canister:

Height, h = 12cm

Diameter = 9cm

Radius, r = 4.5 cm

$Volume = \pi r^2h\\$

$=\pi \times 4.5^2 \times 12\\\\=243 \pi \ cm^3$

$Surface \ area = 2 \pi r(r + h)\\$

$=2 \times \pi \times 4.5 ( 4.5 + 12)\\\\= \pi \times 9(16.5)\\\\=148.5 \ cm^2$

Larger Canister:

Measures double the smaller canister, that is

height, H = 24 cm

Diameter = 18cm

Radius, R = 9cm

$Volume = \pi R^2 H\\$

$= \pi \times 9^2 \times 24\\\\= \pi \times 81 \times 24 \\\\= 1944 \pi$

$Surface \ area = 2 \pi R(R+ H)$

$= \pi \times 2 \times 9 ( 9 + 24) \\\\= \pi \times 18(33)\\\\=594 \pi \ cm^2$

Comparing results :

$Volume_{small} = \pi r^2 h\\\\Volume_{large} = \pi R^2 H = \pi(2r)^2(2h) = \pi(4r^2)(2h)= 8 \pi r^2h = 8 \times volume_{small}$

Therefore, volume of larger canister is 8 times the volume of smaller canister.

$Surface\ area _{larger} = 2 \pi R(R + H) = 2 \pi(2r)((2r+2h))\\\\$

$=2 \ pi \times 2r \times 2 (r+ h)\\\\= 4 \times 2\pi r(r+ h) \\\\= 4 \times surface\ area_{smaller}$

Therefore, surface area of larger canister is 4 times the surface area of smaller canister.

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2 years ago

1.5(−2.4+(−5.3)) = ?

FinnZ [79.3K]

-11.55 is the answer.

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2 years ago

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Solve x2 - 10x = -21

ipn [44]

Answer:

add 21 to both sides to get everything on one side

x^2 - 10x + 21 = 0

do factorization, guess and check

(x - 7) (x -3) = 0

x =7, and x =3

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2 years ago

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Please help with this! It's due soon! Braileist or however you spell it will be given! I'm not the brightest and have other work

egoroff_w [7]

Answer:

Step-by-step explanation:

So, we se that there are 8 parts in total.

So, 50/8 is 6.25

So, 6.25*3 parts, which is how many there are for blue is 18.75

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2 years ago

Samuel filled the glasses shown below completely with water. The total amount of water that Samuel poured into the glasses is 60

Rama09 [41]

The height of the cylinder (glass 1) we call h so the volume is 4πh cc.
The volume of the cone is ⅓×2.5²×6π=12.5π cc.
If we divide 60 by π we get 19.11 cc approx.
So 4h+12.5=19.11, 4h=6.61 cc and h=1.7 cm approx, answer 2.

3 0

3 years ago

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