What is the value of the digit 4 in the number 524897123

Help me please!! thanks

marysya [2.9K]

Answer:

Option (2)

Step-by-step explanation:

Given:

Diameter of the circular base of a cone = 6 feet

Volume of the cone = 176 cubic feet

To Find:

Height of the cone

Solution:

Formula to be used to get the height of the cone,

Volume of cone = $\frac{1}{3}\pi r^{2} h$

Here, r = Radius of the cone

h = Height of the cone

By substituting the values in the formula,

176 = $\frac{1}{3}\pi (\frac{6}{2})^2(h)$

176 = 3πh

h = $\frac{176}{3\pi }$

h = $\frac{176}{3(3.14)}$

h = 18.68 feet

Therefore, Option (2) is the correct option.

6 0

2 years ago

A room is 30m long , 24m broad and 18m high. Find (a) Length of the longest rod that can be placed in the room. (b) Its tolal su

melomori [17]

Answer:

Part a) The length of the longest rod that can be placed in the room is 42.43 m

Part b) The total surface area is $SA=3,384\ m^2$

Part c) The volume is equal to $V=12,960\ m^3$

Step-by-step explanation:

Part a) Find the length of the longest rod that can be placed in the room

The room is in the shape of a rectangular prism, so the longest rod that can be placed in the room is equal to the diagonal of the rectangular prism

Let

d -----> diagonal of the base of the room

D ----> diagonal of the rectangular prism

step 1

Find the diagonal of the base

Applying the Pythagoras Theorem

$d^{2}=30^{2}+24^{2}$

$d^{2}=1,476$

$d=\sqrt{1,476}\ m$

step 2

Find the diagonal of the rectangular prism

The legs of the diagonal of the rectangular prism are the diagonal of the base and the height of the room

Applying the Pythagoras Theorem

$D^{2}=(\sqrt{1,476})^{2}+18^{2}$

$D^{2}=1,476+324$

$D^{2}=1,800$

$D=42.43}\ m$

Part b) Find the total surface area

we know that

The total surface area of the room is equal to

$SA=2B+PH$

where

B is the area of the base of the room

P is the perimeter of the base of the room

H is the height of the room

so

$SA=2[(30)(24)]+2[30+24](18)$

$SA=1,440+1,944$

$SA=3,384\ m^2$

Part c) Find the volume

we know that

The volume of the room is equal to

$V=BH$

where

B is the area of the base of the room

H is the height of the room

so

$V=[(30)(24)](18)$

$V=12,960\ m^3$

5 0

2 years ago

Manolo and Annalisa make handbags. Manolo made 16 handbags the first day and 12 each day after

saw5 [17]

Based on the amount being made by Manolo and Annalisa every day, the amount both made on the various days were:

Annalisa made 8 bags on Day 1
Manolo had made 40 bags by Day 3

Annalisa is said to have made 8 bags on the first day so this is the number of bags that should be put in the table for having been made in the first day.

Manolo made 16 bags on the first day and then 12 bags each day after that. The total number of bags made by the third day by Manolo would be:

= 16 + 12 + 12

= 40 bags

In conclusion, Annalisa made 8 bags on Day 1 and Manolo had made 40 bags on the 3rd day.

<em>Find out more about this at brainly.com/question/11864663. </em>

4 0

2 years ago

Which expression finds the length of side b of this right triangle. PLEASE HELP. I’LL GIVE BRAINIEST

Monica [59]

Answer:

The answer is b = √(c² - a²).

Step-by-step explanation:

For right angle triangle, you can apply Pythagoras Theorem where c² = a² + b² .

3 0

3 years ago

Read 2 more answers

alfred deposited $893.78 in a savings account that earns 2.2% simple interest. What is alfreds account balance after seven years

ASHA 777 [7]

Hello! The formula for finding simple interest is prt. That means multiply the principal (initial amount) by the rate (percentage) by time (months or years). The principal is $893.78 and the interest rate is 2.2%. 893.78 * 2.2% (0.022) is 19.66316. Do not delete that number. The time is 7 years. Now multiply that number by 7 in order to get 137.64212 or $137.64 when rounded to the nearest whole hundredth. Now, let's add both numbers. 893.78 + 137.64 is 1,031.42. There. Alfred's balance after seven years is $1,031.42.

7 0

3 years ago