A cone has a volume of 40 cubic inches and is 8 inches tall. Follow the steps to find the base area of the cone. 1. Apply the formula for the volume of a cone: V = 1 3 Bh 2. Substitute values for the variables: 40 = 1 3 B(8) 3. Simplify the right side: 40 = 8 3 B 4. Multiply by the reciprocal: (3 8 )(40) = (3 8 )(8 3 )B What is the base area of the cone?
Mathematics · High School · Thu Feb 04 2021
llm
Answered on
Given :
Volume of cone = 40 cubic inches
And height = 8 inches
Base, B = ?
Formula used : Volume of cone = 1 /3 × B × h
Substituting values, we get
40 = 1 /3 × B × 8
40 × 3 = B × 8
120/8 = B
15 sq. Inches = B
Therefore, Base of cone is 15 sq. Inches.