3 years ago

A sphere with a diameter of 30 inches is placed in a cube. The sphere touches the lateral faces

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

Answer:

a) 30 inches × 30 inches × 30 inches

b) 27,000 inches³

c) 14,130 inches³

d) 12,870 inches³

Step-by-step explanation:

Edge of the cube = diameter = 30 inches

Volume of cube = s³

30³ = 27000 inches³

Radius = 30/2 = 15

Volume of sphere:

(4/3) × 3.15 × 15³

14130 inches³

Difference:

27000 - 14130

12870 inches³

You might be interested in

Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times much as the soft dri

astra-53 [7]

Let the cost of the soft drink = C then the price of the sandwich was 3.5 times as much = 3.5C

And

C + 3.5C = Total Cost

C + 3.5C = 9

4.5C = 9 divide both sides by 4.5

C = 9/4.5 = $2.00 for the soft drink

And 3.5C = 3.5(2.00) = $7.00 cost of the sandwich

8 0

3 years ago

Read 2 more answers

Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2

Digiron [165]

Answer:

Option C) 113.0 feet squared

Step-by-step explanation:

We are given the following in the question:

Radius of circular garden = 4 feet

Length of path around garden = 2 feet

We have to find the total area of garden and path.

The garden and path together makes a bigger circle with radius

$R = 4 + 2 = 6\text{ Feet}$

Area of garden and path =

$A = \pi R^2$

Putting values, we get,

$A = 3.14\times (6)^2 = 113.04\\A \approx = 113.0\text{ square feet}$

Thus, the correct answer is

Option C) 113.0 feet squared

8 0

2 years ago

Read 2 more answers

Whats the correct answer answer asap for brainlist

hodyreva [135]

Answer: mountains
Explanation: The snow melts into the rivers

7 0

2 years ago

What's is 1/4 of $27,00

katovenus [111]

The answer will be 675

6 0

3 years ago

Read 2 more answers

1.1.1 Write the total number of winners in the correct South African number format. <br>

prohojiy [21]

Answer:

As of February 2022, South Africa has played 449 Test matches resulting in 171 victories, 154 defeats and 124 draws for an overall winning percentage of 38.08. Statistics are correct as of South Africa v New Zealand at Hagley Oval, 1st Test, 17-19 February 2022.

Format

The way that something appears or is set out.

4 0

2 years ago

Read 2 more answers