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The sphere below has a radius of 2.5 inches and an approximate volume of 65.42 cubic inches.

Stells [14]

Part a: The radius of the second sphere is 5 inches.

Part b: The volume of the second sphere is 523.33 in³

Part c; The radius of the third sphere is 1.875 inches.

Part d: The volume of the third sphere is 27.59 in³

Explanation:

Given that the radius of the sphere is 2.5 inches.

Part a: We need to determine the radius of the second sphere.

Given that the second sphere has twice the radius of the given sphere.

Radius of the second sphere = 2 × 2.5 = 5 inches

Thus, the radius of the second sphere is 5 inches.

Part b: we need to determine the volume of the second sphere.

The formula to find the volume of the sphere is given by

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

Substituting $\pi=3.14$ and $r=5$ , we get,

$V=\frac{4}{3} (3.14)(125)$

$V=\frac{1580}{3}$

$V=523.3333 \ in^3$

Rounding off to two decimal places, we have,

$V=523.33 \ in^3$

Thus, the volume of the second sphere is 523.33 in³

Part c: We need to determine the radius of the third sphere

Given that the third sphere has a diameter that is three-fourths of the diameter of the given sphere.

Hence, we have,

Diameter of the third sphere = $\frac{3}{4} (5)=3.75$

Radius of the third sphere = $\frac{3.75}{2} =1.875$

Thus, the radius of the third sphere is 1.875 inches

Part d: We need to determine the volume of the third sphere

The formula to find the volume of the sphere is given by

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

Substituting $\pi=3.14$ and $r=1.875$ , we get,

$V=\frac{4}{3} (3.14)(1.875)^3$

$V=\frac{4}{3} (3.14)(6.59)$

$V=27.5901 \ in^3$

Rounding off to two decimal places, we have,

$V=27.59 \ in^3$

Thus, the volume of the third sphere is 27.59 in³

4 0

3 years ago

The diameter of the circle is 6 miles. What is the area of the circle? Use 3.14 for II.

Marysya12 [62]

Answer:

28.26 miles

Step-by-step explanation:

Area= pi times radius squared

diameter is twice the radius so 6÷2=3miles

3 miles is the radius

So A= 3.14 × 3²

= 28.26

6 0

3 years ago

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Using complete sentences, write an indirect proof proving that if x=30, then 3/4x+5≠20 (3/4 being three over four)

WARRIOR [948]

<span>hypothesis :-
if x=30, then 3/4x+5≠20
let Q:- x=30 P:- 3/4x+5≠20
we need to prove if Q then P (Q →P)

proof :-
lets assume 34x+5=20 is true
now x=30
so
3/4(30)+5=27.5 ≠20
which is a contradiction

proved ^</span>

8 0

3 years ago

How much times is 4000 more than 400

Julli [10]

Answer:

4000 is 10 times greater than 400.

Step-by-step explanation:

8 0

3 years ago

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Solve the right triangle. Round decimal answers to the nearest tenth.

eimsori [14]

AB² = AC²+BC²

AB² = 9²+12²

AB²= 225

AB= 15

SinA = 12/15

A = Sin-¹(0.8)

M`A = 53°

M`B = 90- A = 90-53= 37°

8 0

3 years ago

Read 2 more answers