Shape S below is exactly one quarter of a solid sphere, centre O. The volume of shape S is 19447 cm
O
Find the surface area of S.
Give your answer correct to 3 significant figures.
You must show your working.
+
Shapes
Volume of sphere =
1 / 놓자
Surface area of sphere = 4ter?
Total marks: 5

2,040 cm²

Step-by-step explanation:

Given:

Volume of quarter sphere = 1,944π cm³

Required:

Surface area

Solution:

✔️First, find the radius (r).

Volume of the quarter sphere = ¼(⁴/3πr³)

Thus:

1944π = ¼(⁴/3×π×r³)

1944π = ⅓×π×r³

Multiply both sides by 3

1944π×3 = 1×π×r³

5,832π = πr³

Divide both sides by π

5,832π/π = r³

5,832 = r³

Find the cube root of both sides

r = 18

Radius = 18 cm

✔️Find the surface area of the quarter sphere

Surface area of quarter sphere = ¼ of 4πr² + 2(½ of πr²)

Radius (r) = 18 cm

Plug in the values

Surface area of quarter sphere = ¼×4×π×18² + 2(½×π×18²)

= π×18² + π×18²

= 2,035.75204 ≈ 2,040 cm² (to 3 SF)

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

step-by-step explanation: