All categories

3 years ago

Work out the volume of the sphere

Mathematics

1 answer:

Marrrta [24]3 years ago

4 0

Answer:

1437.3 cm³

Step-by-step explanation:

Refer to attachment.

Hope it helps.

You might be interested in

9. Two fair dice are rolled. Find the odds of rolling the following sums.

Pavel [41]

(a) 1/12
(b) 3/12=1/4
(c) 2/12 = 1/6
(d) 3/12 + 3/12 = 6/12 = 1/2

I think it’s right ???

6 0

2 years ago

Out of 195 students, 9% have

mart [117]

Answer:

round it to 18 since 9% of 195 is 17.55

Step-by-step explanation:

6 0

3 years ago

Problem PageQuestion Working together, two pumps can drain a certain pool in hours. If it takes the older pump hours to drain th

gizmo_the_mogwai [7]

Answer:

10.5 hours.

Step-by-step explanation:

Please consider the complete question.

Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 14 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?

Let t represent time taken by newer pump in hours to drain the pool on its own.

So part of pool drained by newer pump in one hour would be $\frac{1}{t}$ .

We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be $\frac{1}{14}$ .

Part of pool drained by both pumps working together in one hour would be $\frac{1}{6}$ .

Now, we will equate the sum of part of pool emptied by both pumps with $\frac{1}{6}$ and solve for t as:

$\frac{1}{14}+\frac{1}{t}=\frac{1}{6}$

$\frac{1}{14}\times 42t+\frac{1}{t}\times 42t=\frac{1}{6}\times 42t$

$3t+42=7t$

$7t=3t+42$

$7t-3t=3t-3t+42$

$4t=42$

$\frac{4t}{4}=\frac{42}{4}$

$t=10.5$

Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.

6 0

3 years ago

Which angles form a linear pair? AnglePRL and AngleLRM AngleORP and AngleMRN AngleMRN and AngleNRO AngleLRP and AngleORP

Andrew [12]

Answer: C (AngleMRN and AngleNRO)

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect. Two angles are linear if they are adjacent angles (angles next to each other) formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

AngleMRN and AngleNRO together is 180 degrees

I'm not very good at explaining but hope this helps ! :)

4 0

3 years ago

REALLY APPRECIATE YOUR HELP Given log x = 3 and log y = 2, prove that x^2 -7xy =3000y

anyanavicka [17]

Answer:

$if \: log(x ) = 3 \\ log_{10}(x) = 3 \\ {10}^{3} = x \\ therfore \to \: \boxed{x = {10}^{3} } \\ \\ if \: log(y ) = 2 \\ log_{10}(y) = 2 \\ {10}^{2} = y \\ therfore \to \: \boxed{y= {10}^{2} }$

Step-by-step explanation:

$x^2 -7xy =3000y \: then \to \\ x^2 =3000y + 7xy \\ {(10 ^{3} )}^{2} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{5} ) \\ {10}^{6} = 300000 + 700000 \\ \boxed{{10}^{6} = 1000000} \\ hence \: the \: equation \to \: x^2 -7xy =3000y \\ \boxed{ is \: corret}$

♨Rage♨

3 0

3 years ago