All categories

2 years ago

Find the volume of the sphere

Mathematics

2 answers:

SpyIntel [72]2 years ago

8 0

The volume of a sphere is
(4/3)πr²
Radius is 9
(4/3)π9²
= 339.12 units³

ioda2 years ago

5 0

Volume of a sphere of radius r is

V = (4/3)πr³

r = 9

V = (4/3)π(9³) = 12(9²)π = 972 π

Answer : 972π cubic units

You might be interested in

A high-performance composite flywheel rotor can spin anywhere between 30,000 and 100,000 revolutions per minute. What

Kobotan [32]

Answer:

Step-by-step explanation:

1 revolution will equal 360 degrees

Because of that 30,000 revolution would be 10,800,000 degrees

100,000 rev would equal 36,000,000 degrees

The range through which the composite flywheel rotates in one minute be denoted by ' F ' . (1.08 x 107)° F (3.6 x 107)°

4 0

2 years ago

Is (1, 3) a solution to this system of equations?

andrezito [222]

Answer:

because it doesn't work with the first equation

5 0

2 years ago

Read 2 more answers

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

How do you solve 163-x= -52

DanielleElmas [232]

163-x=-52

first subtract 163 and you get -215

now it looks like -x=-215

then the negative signs cancel out and its now x=215

5 0

2 years ago

A rectangular soccer field is 120 ft long by 64 ft wide. What dimensions would a scale drawing of the soccer field be if the fie

timofeeve [1]

Answer:

Hence dimension on drawing= 12 in by 6.4 in

Step-by-step explanation:

Actual dimension of the soccer field is 120 ft by 64 ft

Scale during drawing = 1in to 10 ft

Hence dimension on drawing = 120/10 by 64/10 = 12 in by 6.4 in

4 0

3 years ago