Answering these 3 questions

Mathematics

1 answer:

Travka [436]3 years ago

4 0

1)
Volume of a cone is 1/3×πr^2h=1/3×2^2×3×π=4πcm^3

And volume of cylinder is π×r^2h=24πcm^3
Add them 28π=28×3.14=87.92 or 88cm^3

2)

V=4/3πr^3
V=4500π ft^3

3)
V=4/3πr^3
Its given
972π=4/3π×(d/2)^3
972=4/3×d^3/8
972×8×3/4=d^3

d=18inches

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The washer in the image has an inner diameter of 1/4 inch. The outer diameter measures 3/4 inch, and the washer is 1/4 inch thic

Talja [164]

Answer:

0.14 lb . . . closest choice is 0.11 lb

Step-by-step explanation:

The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...

V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches

The weight of material is the product of volume and density, so is ...

W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

_____

Comment on the question

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

5 0

3 years ago

[20 pts] evaluate the logarithm log(6)1/36, show work pls!

Delvig [45]

Answer:

$\large\boxed{\log_6\dfrac{1}{36}=-2}$

Step-by-step explanation:

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