Answer:
V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²
Step-by-step explanation:
a) Volume
The formula for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓π × 6² × 9
V = ⅓π × 36 × 9
V = 108π cm³
V ≈ 339.3 cm³
=====
Curved surface area
The formula for the lateral surface area (L) of a cone is
L = πr√(r² + h²)
L = π×6√(36 + 81)
L = 6π√[9(4 + 9)]
L = 6π√(9 × 13)
L = 18π√13 cm²
L ≈ 203.9 cm²
===============
b) Base surface area
The base is a circle, so the formula for base surface area (B) is
B = πr²
B = π×6²
B = 36π cm²
B ≈ 113.1 cm²
=====
Total surface area
A = L + B
A = 18π√(13 +36π)
A = 18π(2 + √13) cm²
A ≈ 203.9 + 113.1
A ≈ 317.0 cm²
Answer:
T = ±22
Step-by-step explanation:
Let's solve your equation step-by-step.
0=−16t2+7744
Step 1: Add 16t^2 to both sides.
0+16t2=−16t2+7744+16t2
16t2=7744
Step 2: Divide both sides by 16.
16t2
16
=
7744
16
t2=484
Step 3: Take square root.
t=±√484
t=22 or t=−22
Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
