Acylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. what is the radius of the cone? a) 3 cm b) 5 cm c) 7 cm d) 9 cm

Step-by-step explanation:

The formula of a volume of a cylinder:

r - radius

H - height

We have r = 1cm and H = 21cm. Substitute:

The formula of a cone:

r - radius

H - height

We have V = 21π cm³ and H = 7cm. Substitute:

       divide both sides by π

        divide both sides by 7

        multiply both sides by 3

A 3cm

Step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet