Question

if volume of a sphere is 4500 cm³ then its diameter is _____​

Answer 1

Step-by-step explanation:

volume of sphere=4/3 πr³

so: 4500=4/3 × 3.14 × r³

4500= 4.19× r³

r³= 4500÷4.19

r³= 1074

r=³√1074

r= 10.2 cm

diameter= 2×r

= 2 × 10.2

diameter= 20.4 cm

Answer 2

Given :

Volume of sphere = 4500 cm³

To find :

Diameter of sphere

Formula used :

• Volume of sphere = (4/3) π r³
• Diameter = 2r

Solution :

First of all we will find radius of sphere

$\sf \implies \: Volume \: = \dfrac{4}{3} \pi \: {r}^{3} \\ \\ \sf \implies \: \: 4500 = \dfrac{4}{3} \times 3.14 \times {r}^{3} \\ \\ \sf \implies {r}^{3} = 4500 \times \frac{3}{4 \times 3.14} \\ \\ \sf \implies \: {r}^{3} =1074.84 \\ \\ \sf \implies \: r \: = \: \sqrt[3]{1074.84} \\ \\ \sf \implies \: r \: = \:10.24$

Now we know that , Diameter = 2r

Diameter = 2×10.24 cm

Diameter = 20.48 cm

ANSWER :

Diameter = 20.48 cm