Dimensions 5989

The owners of the ornamental garden decided to beautify the entrance to the garden with two granite plinths composed of a prism and a sphere. The sphere has a diameter of 56 cm; the prism has dimensions of 60 cm, 60 cm, and 150 cm. How much will the owners pay for the pedestals if 1 dm3 of granite weighs 2.75 kg and 10 kg of granite costs 35 euros?

Correct answer:

x =  12165.0822 Eur

Step-by-step explanation:

a=60/10=6 dm b=60/10=6 dm c=150/10=15 dm  D=56/10=528=5.6 dm  V1=a b c=6 6 15=540 dm3 r=D/2=528/2=5 228=1028=514=2.8 dm V2=34 π r3=34 3.1416 2.8391.9523 dm3  V=V1+V2=540+91.9523631.9523 dm3 m=2.75 V=2.75 631.95231737.8689 kg x1=m/10 35=1737.8689/10 356082.5411 eur x=2 x1=2 6082.5411=12165.0822 Eur



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you convert density units.
Do you want to convert mass units?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: