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3 years ago

Pls help me. sir

Mathematics

1 answer:

harkovskaia [24]3 years ago

7 0

Answer:

E. 2.

Step-by-step explanation:

The sphere will have a diameter equal to the side length of the cube.

The side length of the cube is ∛64 = 4 so the diameter of the sphere = 4.

The radius = 1/2 * 4 = 2.

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Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.

Leviafan [203]

Answer:

Option D. 3.73

Step-by-step explanation:

we know that

$tan(x+y)=\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

and

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substitute

$tan(x)=1/\sqrt{3}$

step 3

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we have

$cos(y)=\frac{\sqrt{2}}{2}$

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$sin^{2}(y)+cos^{2}(y)=1$

substitute

$sin^{2}(y)+(\frac{\sqrt{2}}{2})^{2}=1$

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step 4

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$tan(y)=sin(y)/cos(y)$

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A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.

worty [1.4K]

Volume of piece candy is 113.04 cubic centimeter

Solution:

A student bought a piece of hard candy that is in the shape of a sphere

The candy has a radius of 3 centimeters

Radius = 3 cm

Use 3.14 for π

Volume of sphere is given as:

$V = \frac{4}{3} \times \pi \times r^3$

Where, "r" is the radius of sphere

Therefore, volume of candy is given as:

$V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04$

Thus volume of candy is 113.04 cubic centimeter

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